Đề cương ôn thi giữa kì 1 môn toán 11 chi tiết

Thi giữa kì 1 là bài kiểm tra kiến thức quan trọng trong quá trình học tập, ảnh hưởng đến điểm số tổng kết cũng như kết quả cả năm học của các em. Để đạt kết quả tốt nhất, các em cần ôn thi giữa kì đúng trọng tâm bài học. Chính vì vậy, VUIHOC đã tổng hợp kiến thức ôn thi giữa kì 1 môn toán 11 giúp các em ôn thi dễ dàng hơn.   <h2 dir="ltr" style="line-height: 1.38; margin-top: 18pt; margin-bottom: 6pt;"><span style="font-size: 16pt; font-family: Arial, sans-serif; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Kiến thức trọng tâm ôn thi giữa kì 1 môn toán 11</h2> <h2 dir="ltr" style="line-height: 1.38; margin-top: 18pt; margin-bottom: 6pt;"><span style="font-size: 16pt; font-family: Arial, sans-serif; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Hàm số lượng giác và phương trình lượng giác</h2> <h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 14pt; font-family: Arial, sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">1.1 Góc lượng giác </h3> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Đơn vị độ: 1o = 60' , 1' = 60'' <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Đơn vị radian: <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large 1^{o}=\frac{\pi }{180}rad, 1rad=\left ( \frac{180}{\pi } \right )^{o}" height="54" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdOMNPOonkRLO4NmOd6NArubNk3Q7xWxlWEKjL3e38dnCBVh2F9PfzRpQyld6DE2cB8WpRyQYqWOJTxygnJahmwv0DJA_JMWZFyWzzhLVV0PsyVd7wyWomtvxpf9GoVR5o553f-hW9D4KxJUVh3jal33oE?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="273" /> <h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 14pt; font-family: Arial, sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">1.2 Giá trị lượng giác của các góc cơ bản </h3> <div align="left" dir="ltr" style="margin-left: 0pt;"> <table style="border: none; border-collapse: collapse;"><colgroup><col width="150" /><col width="145" /><col width="157" /><col width="150" /></colgroup> <tbody> <tr style="height: 27pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Các góc đối nhau  </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Các góc bù nhau  </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Các góc phụ nhau  </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Các góc hơn kém <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \pi" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfIMXwTjmS1mpuWSTCE_dmHQVMrvoTHutPOUX2E0uz25u5NQMd9wKtSOBdNO_G6PRT9uVDOpIdtfa1GpS91sVO7zHfM7vWcP3PkALrhn1db9M8QN_OHzieJw1-ue5m6tIQSDWpwCSbo57Vii6cy9TyzglDz?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> </tr> <tr style="height: 27pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sin(-<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcHC6xzADHRHEuTQt88MLIw1SW7pF4RYb3weJRNkfko2u36smYPeZp0VdgRRBcoMpo8c7ajFY7KvOtvcYvs9173A_CcKEJdMMwCekKBbuVXEIBpxyVG4A10RgWQkc0PnZCK6wVh1QkFkx7sOtZRtr15o04?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = -sin<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdF9vXN7VWuOINCFTJWNEbRwyUB8X-lodXr_G78OEbCtE4CdGmYi6vvoDKPPVT7ppkEtjVi_DnOsK0gyE9zCW9dibKrk65C2kegOnQoCi66Qutt9VROZfnCNWrneYSl6wbzl01WbEyF7b8te2bwT-U8USVt?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sin(<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \pi -\alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfiaKW_Oe2mO17EDKfDM7aSlEdhPhZKTRsxQbNgdMzUXv6eMBIXMxi6LWktIxB9EPZ2Svhl30Rvl-06nQjfkrUCoWTpC_5DOCpFKZgl5gpF3f7HlqLBlKRJKqOGdti-M5HQ9A1GfkomWCeB8Ogub9sHpF6R?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="53" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = sin<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcMmBCN39DW5vxW8IH_21nTTedIsRGRz5M_rmkROzwWXK-U5H5D0twYBwvtilFXScgHRqTF4cZJBODKQpERK-ZPtiqDILuq6fPbIvpVikRWdQKRp-W5SDH4H2s8EKb8Dyq7xLsws8INres6A_WuJHqTmigO?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sin<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \left ( \frac{\pi }{2} -\alpha \right )" height="40" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcs-HKrhE8YYJwrPGo2fhZzCHnyiv_AIUuRllNLRO33k6EU0QM2efwzU5DG2mFX3JZT8PIh4gpAEJrihmTkvDFlUhClm9TxrVTIPEAi2cfeZ_8Pr73ar6wJWmZLwIFcMKzsjkfKOXSh0tuDEupTqhLJmUlp?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="78" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = cos<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfqWt2lQ8EnFVcTQ8YPymwIuzNZPLOjHumrjWRtiD_5UiEi3YIlblFafIvI-jrZbR3qe1VbNrAHFcgz763r57a3b_PvVpzy_vvskmE0DmU4-IVfUhRQLPcGl_DhD8Zz5SK5fvPib3c8EGzCX0bTQNe53qYo?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sin<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large (\pi +\alpha )" height="23" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdlATHV4Be2j__9eqOSHatFog1Vccw472oC3T9icOKOAN_9Xv_VLw72UJVUvlwx8qGuz-Oz3DgOp6vM8_kBy3igcb5rw9jqe9vzdPT7Yz-aAONyC1VAA0JGugQ32S1b4XsUQ5gXEAoa9vVYNDDFHQd68qQ2?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="67" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = -sin<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf26V8aEETEz0xy1HRu34WA03LPuKSt5i5coQW25FiB0uRYKsorRwMtlXeT1igBwN2LiVL9_OC-He041CZZMSchkOtnIgm0sI6w28cf2EqLJIEXwZzujQnA0H4uJlfBcEg4dAgnkgNlBebXLztDvl2_lhO0?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> </tr> <tr style="height: 27pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cos(-<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfmuOq7BgBCxF8LUGXhx1XNOfHYV4WzmDvz3L2L2qHkvSB5UpKFdVFOYJR8J1tNXE4BqpLNehThTNatBYhlzc0Yjdxtp1C20XiG5j2MUDstATdnDUaCyaIyMKC3fYaby8gsyB44DqW1t0EgdZG3bWmqSjHd?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = cos<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd3-bjicpLIB1Zu_WOPwA3KIMMa-ivh6MI-XEuU9aN9JIctHBHF5nV1XdwUfiCdSxq8R3pq25mn0FX8gz8QImzSD4s26PW4F17piSCWrxRReiTHuARIpGKkiXABoTB89qw35VmDVw29PuGDyBfDxiWDJDek?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cos(<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \pi -\alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf8GvhYZC6eHqmSdbKxpqfEsjeV_ao7Lv16i18w6QMEsdtGEx8eI-050RmmpugY1YHDd0bTLHVj48yzuLrsE_OJ5k3thjENMdbEMqh7gj8d9houHKxfG7gns4ItB43r2ld0zeI30We1PoCyFtVOujZlRbU?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="53" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = -cos<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeqJ2MCqOwVBJDhZtCYnE0-FZdoXevTiouphjm4CucKyvTM95ahw9WiHWNrhUKsxvOjE3qvNipzq8fcY7G_p49xTuXYng_5pStMiwqGSQOiGPYDDOb1AzWnMb-a_5rE_tYMLbfJxUlPI1pFRw1eQ73WmyV2?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cos<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \left ( \frac{\pi }{2} -\alpha \right )" height="40" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXc5nanfe2NXa555Qwy0zIjp6Vz2jDa2gHXoAoH-OpZZ9gCtqYywTJVaDJ7L0k4htXXobDfB6jPQTzJjPDz0_YuMwANlFyUBH10O9bRIUV5tIRstdw7iZ78EHsJWvyTJqzShs8Ymn6VD4zO6taU8A-DOU7uE?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="78" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">= sin<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcpTuDQLdHaIcufU0EfTDfJXXiMBnsPuY2jqKYuXIdgqK0VMzDIZQy23AVuUwXVzeWfOiZalSuW8jP58r6jeO3kH2Yv-8B8Y6_QqQYBRclHXhSrZ-gX0vR5PL7ghHRfpaZlBPm0_CGsYjkUlISr4W8HFL2B?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cos<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large (\pi +\alpha )" height="23" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdD1-b1dJBsESwbhP-0Xxz9pgC8AIfI0LD_ziFrmtV3DGXTjhz6SN_jDpIvfTHZo6-6zYnjTbaa8aApe8zuscpvyovN1LoCU82ilWDLIicWwhROJ0mDNxHqQKqlBa3ofzvYp50h9o47oXFko2DJsos3cY3T?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="67" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = -cos<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcAI2LHCPu0wUfgvrl8-Ultsk7H5EyHdMMtTJXJpAVtN5E_2NbCoNWRNcKgLBMPVQJngc6DlDYhywOV97ivn99NOFzviwmEV5qkA5fo1HXu87GcMyEFWjZeW6UEAU7zBcRU-xy28ih365AmFFb0ZtFrwEqq?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> </tr> <tr style="height: 27pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">tan(-<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeVwqU7NuepQA2bwTBxI9MD36tLeCA3cCXkO8kszgttpd8T4nfzojR-PDPhbBxLi2lfIP8yja1EYvuK_LzI6VJsb38MYcEfQn6e2kcjqB3-XbVQElx5-O5PqaC8WaHuxxBwSGfS3XLFbTmMZiEshYYYnByW?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = -tan<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdnwSvA1Sm30r8ZDFokPE4ZXbpJiRuZjrAZD6FBv7HbiaE5rPqb9oRqGg5PIadIJAvGkuKX7Wb1JoIwqkxZEeAyWGJ0B7yR5ROwzssfPgDkd644vA4_yfeH5r-1tousAi1OeBUBpTtvQUGAFQ7aBYzI6gIF?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">tan(<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \pi -\alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXc91kYgdo0yEDYM2UTLlSOMUl7lub_XzudMenhJRASp_kH-9SeIu3a6Gfm3RSP3cGLiTwG47TSU4qnG8tcUg0P9SEzvl9Fu5IRxw84pZVOpwLuSM3m5T43lpzjSnfUoA0xQsN8Z-GCNbxZpZzDsGZBEYuz0?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="53" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = -tan<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcsCMamaOMjWnvDwi6IMhPLSfxcpJNmZgsnHD4AliGd16F-WoZrK05LeQDJLusOvJhoMJIdMHKOGm3t4rosTlB2j8dxt1wkgCW4hqScEnsnnU3sI-sb9aoPmaGVrG5fwCLQyiZXKZyV77aYuVyhDL2skoWa?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">tan<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \left ( \frac{\pi }{2} -\alpha \right )" height="40" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf2Y-EX-vVpZg4YbVuDWi22WK8ZRt3hGPDLQcGlAMOu6KnQQDFEWBt4du9xGpCOAfxOgvrW2mMg7DxJ_0MjZf_ztVTjlS7ewjXdpjCUjpHxIoMtwP7kAYVklY-4qWJ3v2MXS6sVfesV5M9NOjbn_0DZXkuK?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="78" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> =  cot<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfcFYLgDXpC-UzzJBlxC_EPEjpwcDDxPLh8udSlYecwq3PW1zwrfrDaPa8-324l3m0i5cPbooHvqzJycQhOvlgsA1xq1v8--MBXbt1q6VH6xrEpCUJA4rX2lF5ykfaBmT5GxZdh7anUyHiZTBrbOEa9id9d?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">tan<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large (\pi +\alpha )" height="23" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdejDX0irID07tGVOtQGE1UriRfWbhfZeuQvdkrpDdiXvcOogN2pYgbaqgGuAgchwE5nJdAXuWE7HfgOEERiX87LZHW1pYayEMpLu2HUrkW4WZtE4jOW_UpTlBGAAgra836u4Tv5F9FcUGDuNBMQCOWHDWX?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="67" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = tan </td> </tr> <tr style="height: 27pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cot(-<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXc64zD8xtnnbN3lDBmIhWGGiMuoaRXS9SmwOr2071_J1-91gfkrkhGtaYLa4wJ5sLnZTmrX00CD76y3EJK-ZGQVUQX1OAENw8lsvFBgWmvMqIHoHGcaGpPdn77wqXu_fl8vKsP-8Ujxz-v-NWoZTcZ2XL4h?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = -cot<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdMOL7NEbv4Cb2bW3Gm3cPdSZPVTCQfAtraeYzIGWt80-pa_uco4IVHScULWbNWb9XgzcpAF_QpnShNc4NoS1vAxEMt-5sWsJFQIh5QrsyeAk4xsAvYm7S9Abo5jg1JdTNlv0_gkjCfCrW0L8mfaeOT39td?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cot(<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \pi -\alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdat9H2v6u_Ht9XlmeUPdoeATBzjO-NVdFO9em0uswiWtTwLwo0ZlaonNkNvp3aHjzUSpNOG3QYFypqdoxv79pE43ajq9aCiIgF-6YlVQOzB0lmE7uqcg2AVcPJBYD6bbD1nD70yYRwDvL6eEOAmUA9u8pS?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="53" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">) = -cot<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd-B-zuMsEZzqrBU928BqhbyGJSMn9GlL08RJbjY8kfxpMjjPNoDhoWQxBzd4usGQSo8nzym2TX5j3sEYLQlelnhzhuoq9JMe9XYt9mBrZ5naows0uPyWStCO9qCLNEPqFKcQAgPFqk0ofsyaikwCfvh2sH?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cot<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \left ( \frac{\pi }{2} -\alpha \right )" height="40" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdcWDX8IOhGNtZTISEPD7PNXYVNDyGCjg7uEJ8O15dQhjCpoTxp5yPVYGGjsqPpGkW5p5mLD5PC6sfvwTqKZCeeAnEoEFI_7y2Qiz2ZXtjh5fdqIgfWXe1mpp95kKAN-0WBd8gM6NyAHQuLCwyp3A2bQxg3?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="78" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = tan<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfWqP0PnK58luklCjHMLqUx77DbgLM7ox3yqplJV8Z-G9d4PZJeGdpiY0j3qbxewF8KDiatKkslsAr2XuIVfzokQ186vpAO_0-ODsVhScNTjrW-_wu7DE7SnWejxw1Mkjig5L7Aj2y9fdUSzXhtZ3Z5oyg?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: 0.9375pt solid #808080;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cot<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large (\pi +\alpha )" height="23" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdkD7FDtqeE5BmdeihZPZVUVu6AQTCC1XOBxZuqH8t_MryI2WecLjp1vXa1irAHylmzTpFqHiyACwZzyrguumRpzEhjWrXR8y5zaO2NwmVxwqwHccV2khX-Dtex_K-WrrnrzS7vQfH2Y1E_IFSs7eJHO6JA?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="67" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = cot<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdJK61CRtvsI5h2jf0FNJZZ3eoD1s6xCNATwy2VtUjJmSCHFTIiRtx2rH41_gzA6dSr9k9gJE7hVQQfaLq8b3YipB0Hm3HusuAtLRbMtglG9O-KHulPlzZw31YEbb5JVlWy109EsIVzvdtvs6xHu2fMif3A?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /> </td> </tr> </tbody> </table> </div> <h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 14pt; font-family: Arial, sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">1.3 Giá trị lượng giác của các góc đặc biệt </h3> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img height="252" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeeYyGQDEB2NJO17p3csA5mBdTXHEZc85MbPbADbaa72zSsCiDU4g_aYaqm0U-rGjS34YZLkGWASOmD7CBKK7tFwCNNSF7lNsnK_eaQE62xWLTEtGDQiO17uBKqryCC2WWNdBvo38vy2x4qn75i2PlpTZOi?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="602" /> <h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 14pt; font-family: Arial, sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">1.4 Các công thức lượng giác cần nhớ </h3> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Công thức cơ bản:  <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sin2<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeC7KWmILmLjEU3MDwtp7ToKT6ISa0d4yAZj2mHfp2un-ii6Vsrl7Vh1Rg61suH7ycNcD9yLNqRe1tccW9UTSlNO2PdhfZuV6m6x5puGY9mNRbKjTy9qSoMasF0qWqpX-gxXbMEmAyap_5CilXuL635i3YT?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> + cos2<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe5p4eu50xVqs7rLRLgmNE7kaxQCialH-cjDAU_ZaLKdM8iMqLJ7LSN3QhDXhmUDXaG7d5K7f0z5S_0_PMDFiZy3hRABAJiK72VNv4v-usEaTkLq4NQ1QoPbLTPmAdHT2G-RGAiygxuVoMl_DAxnuE08ABb?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = 1 <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large 1+ tan^{2}\alpha =\frac{1}{cos^{2}\alpha } (\alpha \neq \frac{\pi }{2}+k\pi ,k\in \mathbb{Z})" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf2lSkxCyyPxPHy8A6uLFmUaEgFG52xHaGSrawsf0IZ1ITNBD_IbIO45onowTy_AUc6TxOuMeXbzN6UEeQ94oDzmlQe3TB8lMZTN1O4uPXK4EVGxuP0sj2GkYvR-2c_DZNHu0oGsZtsR1rOOiyJko1c4Vur?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="364" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large 1+ cot^{2}\alpha =\frac{1}{sin^{2}\alpha } (\alpha \neq k\pi ,k\in \mathbb{Z})" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcgMp2XeFIChTQlv-GGJeY4Gl9LwtyOKqo2zHKHC5lr-jHAjyuDbVl77ggEPvow-k56RJiuH6IIfqVyeSHSjJytNyhAP20NvTTvYUVO9v4qYl1UD9jFaokG8v5zySRlXoH5tPiF-qIONzwnd4KbskKLMlrY?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="317" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large tan\alpha .cot\alpha =1 (\alpha \neq \frac{k\pi }{2} ,k\in \mathbb{Z})" height="45" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdJt8GulXkKsM0QuraZMFMs2pwEkNt8HpfBtF98BfANuYbvlGrtSuunGmPc9ujCDIQyE3apD4tK4ExkeE95XVRVWG8cg6gWNOSVtWJ1FDj8Og-bA7td-Ncv8GV7dKH51A5xc0LYF6Kgg_OOVjRPcX3JcLIj?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="282" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Công thức khác:  <div align="left" dir="ltr" style="margin-left: 0pt;"> <table style="border: none; border-collapse: collapse;"><colgroup><col width="247" /><col width="355" /></colgroup> <tbody> <tr style="height: 68.25pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Công thức cộng </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sin(a <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small \pm" height="11" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe0QHvW2h0SKPs28ostBv9kRFzF03DQDX3mJqO7cZ3Ubcx-i5_csfaMJcG_eIGf8Ke1pQtKn_n698mLzlS3bBO2nlV0YlejATtrkvMVs6tHCQ7UQxKlPlTvpatzoSSMKiPVgatFb5wmveXmtZWpOLURLDkc?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="12" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> b) = sina.cosb <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small \pm" height="11" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXclTYfpLpElYMmCsWH_SDw28QXYb7wlDUSc8XGwHg-cwBrEhsKg8n2QqRCyAT19Tmm5Zxv-IA27OKxvjmSAQxshPZTLwEOM5YVD07C514MmwWMv5s-Uv3SAE0dtqgG5Cp9tCzK5lr7e_zWIAarRlXe9g50?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="12" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> cosa.sinb <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cos(a <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small \pm" height="11" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe_jsBsKGhD_u-3iSomdEg5FVka4knFWNl7KRRPS1-O1NI0nlT91xShB-P-yJ98eq6aa2va-1_G1HvZYNcQPXRfM-xSvJoKhAoIvE-hj2PFAX4kcuG2uUobfQ_zZhDeDD1vA0n3_cleoqQam51bTGNGtfSV?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="12" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> b) = cosa.cosb <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small \pm" height="11" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeOVv-vIBVfmF8f9B-Kx1H9p-TktTbqlTpkKf603-kHVA1rMbfegSF6nRL6HCixn8TNh1JQlRRg7dTsWgjLpUKTA5R17nibBT4luRuXdwk6pMZmNQoWCz0hLywntBHD9ad3JJzT3Ypw5-Z990S380Dqqi4?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="12" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> sina.sinb <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small tan(a\pm b)=\frac{tana\pm tanb}{1\mp tana.tanb}" height="37" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeWhcagRn-QgMdlbFyQ4-5JwmHLlormSxcP4sI_QnEBBL5KS_q-VaLh-DQIE_xUUbZccs-twtQjGYz3NEzq_BYkNqveCAK1skUwsVQwQowz7O_2pkUa-hohGa4sw5eR_l-jBvHbVc5Nem3Wx58Cxlw65sE?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="198" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small cot(a\pm b)=\frac{1\mp tana.tanb}{tana\pm tanb}" height="34" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXc9-rq0-w9KfN7vD3G8sk-GBWIUGDJ8kZMLYvUWrlQXUzvvoao7wcIqPkF8yoxYYc8-EO4VRzLJEWXA6jdCPrTBAwajyz4nRGYFBI0JdEznqlaUGQi-zHl8XZBK01pu4JH-CSGFdzLpLSv5Rr4XDysHSU2S?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="195" /> </td> </tr> <tr style="height: 68.25pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Công thức nhân đôi </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sin2a = 2sina.cosa <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">cos2a = cos2a - sin2a = 2cos2a - 1 = 1 - 2sin2a <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small tan2a=\frac{2tana}{1-tan^{2}a}" height="34" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXejtORqVSXHJ6w2GSCsj6CsDNywqx2gKR8DgmHjTxSzsmlYchCog5topKbQbEUWUSYzS3lyP1iVpBTANA3IuMFbdXFOpITzs0Fr4HbHcwkBTToOvrJgwjnsP9lp0_7G01-lUvRB8gClq13k2BKi_dLkWIgR?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="136" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small cot2a=\frac{cot^{2}a-1}{2cota}" height="38" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcsPHK2X4ol3PXwYtUKRXdV0fOq99N6SZiT9uwzrQUtvJZLSzbgdHEb2nSB4HB6X7hwdx0X7jSo-NWz9kZkHLoNgm5MKo_vsFSexpb0hzAyoOQkG-aA04DGlStR25qluQ3RaHN1scDuJzLYXMkkYosGaFc?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="129" /> </td> </tr> <tr style="height: 23.25pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Công thức hạ bậc  </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small cos^{2}a=\frac{1+cos2a}{2}" height="33" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXfu23JHWp-MDDmhJpZITE3Qoalg1IcNFk5_iRFr6KaevFXl30sQKrl5FDJ7hEzZtxH-nUmhpU_xD34emCoFBNmbqsVBiJhb2WKeB8vIEvhp_nYqeWrzj3D-O-fgPW1knV5sybLkBrDZ-itYXi3cfJACldw?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="132" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small sin^{2}a=\frac{1-cos2a}{2}" height="33" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf0r1c7pDgx-svqigtz8K2Iau2njc-SvYHxo5yjAnnuiJpgUpz2cTlpcTKJDZvzOltwUyD9SmdF6QDLyQpUY9TZfvyAVsU6Y7LI_KO5Qvp0A0xmf_-gk0ddZBHPFN8p2d56pDfLE3hFrMW3F7gCwO4_u--f?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="133" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small tan^{2}a=\frac{1-cos2a}{1+cos2a}" height="35" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXedRowvlu4VjWl8yN1BE9xKK_dkz4TEFf-yVoSuMKpf4Cqko4kWX9iwNeOW2_ZVBtHbsXBP5Lt-vBwANxoKxpd55q2Hc288OZAvKCfASVoHFZY9u9XkQReApZOZg995DmgEQAN6SDxmCK2giIVVR38KpjM9?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="134" /> </td> </tr> <tr style="height: 49.5pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Công thức biến đổi tích về tổng </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small sina.cosb=\frac{1}{2}[sin(a+b)+sin(a-b)]" height="33" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXc_nPA_psEzw3dE2oVDk_uFbnBEuwTBunWM31f2SPxTCVek81GhxC3hMjRVlfDR9ErA81nRY4pm4G-A9bX-HP9UveTyABFfbGneElCowyi6sGt3EuGbHcjjIdXyf09dH_nTti_R39KuPT4BnKDCmlQSeKHi?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="274" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small cosa.cosb=\frac{1}{2}[cos(a+b)+cos(a-b)]" height="33" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcmUFUunt9N_qlDQRH43nKfrT-BpIz-GEXicbqgM4NYiGNhbvl0oPHTCM_QgLkjXbjSCFUUPZyMVgaKxLH51fH_gzHHW6-7TnjFECk9H1U6tcbb81nFk8NonRb3BbTOuEavBaCcupvgGsmq6fRc4eZeVErv?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="274" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small sina.sinb=-\frac{1}{2}[cos(a+b)-cos(a-b)]" height="33" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdxPkDkPgvzn53ovjfqamzJ8dFH4CZGXb2j5SROYkroun2olxPOdq2kRPDU7uzErSKAGlLgzIqp1fN8Hb_aa7BkClx4fEHPd6lSNRJtpn_fNf6JalDbXfBrR4J68t6_AIMBeNfhDPont_Jnog4vekCVc9o7?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="287" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">  </td> </tr> <tr style="height: 38.25pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Công thức biến đổi tổng về tích </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small sina+sinb=2sin\frac{a+b}{2}cos\frac{a-b}{2}" height="34" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdBr1uI9ssrJ1z9Bwoo9d0HsDHv7t1luWKItBJq8-YwDc1e00a3GJvREuEz8rn73MlYB8_3Dvi2bHGqu2Z7HCyzO1EQiYWGHTYMu7timSJWiVA7dVxgTMxthBoYlApeo4mtpeqcCj6eVpcJNchaqKaww_bZ?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="239" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small sina-sinb=2cos\frac{a+b}{2}sin\frac{a-b}{2}" height="34" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXeFq_wzhDzazKu8bGT3kWKOrWNu5ppy2s_Q7OC2340yIt0kVBnBzEHk1VXEUusIiA4uJedS-Ahm6RpmbfHIXa7SnHlFCkeAQRf9Kv9jubTQg3IMV_M_LkonRFboA63vs6jWBVYWnc9OiVRSBW_pbhQb-miU?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="239" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small cosa+cosb=2cos\frac{a+b}{2}cos\frac{a-b}{2}" height="34" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcEgiQQYg4IgjQH6ReKlPQgv1p_mS6MMte0ycfvg4tiqkkhodKyOyBEQs_QP3MFZObLEVIeOyDS-NpT0H_U7jbNsClkNLTbBNCK7ya3r4xSy8avTGscnyqOPdG3dRbVeJl6McGygEOp4eFDhyKo7gJvQP2x?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="238" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small cosa-cosb=-2sin\frac{a+b}{2}sin\frac{a-b}{2}" height="34" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXedflwftENbGGqR6fP5brCRzdg58MS-SSUaz2DjfTcje_RKqDAJd5XCwxCKKJHKLnwl4OemQeIRUlrYBlfQy2sgcRf6qutqO9sjSJvLuYBWTm1f3qm0LZ3JzvCGe_pK-TmlYvG9oN3PFALmfYTg3aZwUhw?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="252" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\small tan\alpha \pm tan\beta =\frac{sin(\alpha \pm \beta )}{cos\alpha cos\beta }(\alpha ,\beta \neq \frac{\pi }{2}+k\pi,k\in \mathbb{Z})" height="40" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdn1n01kL1_t5ltAr2P74v0wdJIX5qf5hG6X0bmWFqu9oMOs6hYK6iqg6cHPVeDHJYAX6MjHIIA--akQiCXiIrmf0bz4fDF0VgCVSQ0CSiTcvKUWXUa-w5kpHSpF48gLASOx6UXJF9wDUs01LPhKoivdP8?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="359" /> </td> </tr> </tbody> </table> </div>   <h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 14pt; font-family: Arial, sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">1.5 Hàm số lượng giác </h3> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Các hàm số lượng giác<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img height="312" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcy2aKNBisUqP0jIMKoRmeGjL1uxUtqTfo4LGxUc9WhXX5Qy4mFWmGmlujKxIIyz-NuX69QsV88s_DybGlE-E44J5ak4yuBerih9OO9_v4F4lN24u_9lAr5I-Q7wlbnqc4o7AKVzh-a9138NfA_852SHhn7?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="602" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> Đồ thị hàm só lượng giác  <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">+ Hàm số y = sinx <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img height="253" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXePHLY7q3PW8ozEwuFHIBtN_TmBEvO-Rktm8EklQwEtmwUgiCLwrnqRrMuY9WT0eTrw9e_IQVMfgTy9m0SS68TW1zaFM8MJZLMWKEgAUYW_SZL_hb-4p-hrJliwrz3utA_-iTlNyU4TSr2PjO7LWsGI9zVl?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="602" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Hàm số y = cosx <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img height="244" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXenNkPezItrJ14DDhDb--QAgS0_BTE9fCFx4jQY-fRNhG7eJ4LZwywJMzHZ--QzyU8C58G6yjBL_Z6tqQBSWBGQQBZ7XxM5hy8sq5BULTkMflDJ-kbdh3aFJPW8ka0xrDx_53_RXn4QEHjOgQuqaGJaAyo?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="602" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Hàm số y = tanx <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img height="323" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXewFgDZGCbNmPqOFS4mR9pQFkmAhC83SWO0z6W7pcd9o10b-8TzRjrn2z-f1b4oN5KflZTXZ2NWDl7dB7LwPIaJTCiXULEvLkVFBSGXZOsAKPwCR8elAYLPaMkdmPeddMXfCGSTyhd_inUnuFHJF9hS8cLg?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="602" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">- Hàm số y = cotx <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img height="299" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcJEEuAiU-gesSTc1yHVAPiiJPJZgju3tr_spME2bDk0PZYuU6ZxFzt0eyIPDRmCwrQky16sN7yJdxBFsSLXvqv-blVwzVDH9sefX1idBYUnRKWwQyoEMKK1piMBOlgIV38rM_-4pAjIJSumSBMbFMqMrPS?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="602" /> <h3 dir="ltr" style="line-height: 1.38; margin-top: 16pt; margin-bottom: 4pt;"><span style="font-size: 14pt; font-family: Arial, sans-serif; color: #434343; background-color: transparent; font-weight: 400; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">1.6 Phương trình lượng giác </h3> <div align="left" dir="ltr" style="margin-left: 0pt;"> <table style="border: none; border-collapse: collapse;"><colgroup><col width="88" /><col width="514" /></colgroup> <tbody> <tr style="height: 207pt;"> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">sinx = m </td> <td style="vertical-align: top; overflow: hidden; overflow-wrap: break-word; border: solid #808080 0.9375pt;"> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">+ Điều kiện có nghiệm: <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\left | m \right |\leq 1" height="19" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf46we-qdqawCWYshrZYrgBt_5e0dWVqNJ2wJGFH6bxiwutvBR2x6a4YWQvWhcaBxsfIEhhX38-BruIgUGQNhPXxjn-HdeDWHlKZ2_q-hCwtp5X4dqH_aIfN8UjNxJBsfUnYMT0f4uesTS-IFNqJY260vLQ?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="56" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">+ Khi <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\left | m \right |\leq 1" height="19" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXejPx-535PGU4fgNz-d8o5EdcWADVh3Z4jeVbT49E-W6rKtlWsi56l4wc5PRP8Poq5lJOhzTM6ENXKw6psWEPAoeguS6i4k8ZcCwgdpMCKcdna46vyy4oVrYewEOcigXwBMoyg-9gVSmLW_jJ-HtA4WKLx5?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="56" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">, tồn tại duy nhất <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\alpha \in \left [ -\frac{\pi }{2};\frac{\pi }{2} \right ]" height="34" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf2Lx6dRnwxsDDXxythwTxd_xarzpMHtpDNSFz_GWFxY9ycaD1N0MRBCqKW9gLAELWVZD0LInLDIbnsaVtgX-6pwlwBpdYkiHaiM2Rh7xtgFpyiI2RtgcL0vuriwepfHstXMxQBnAB6SXFRLlz5rBEy9Wd7?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="99" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> thỏa mãn sin<span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large \alpha" height="10" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdoKP3ibi33D-dR546O10_aOHRhaxnQKQNdsy1Sq9W-4vClUNAel-DAGO3f1LbMPEMwn0nitiY7PAKaWskFgQEYpGRIPl1iq2WJb-JZkFg7-6Gyoiopji1E1cAIU7fPDyfRjJLpW3YDCjH-tiL60VhPlr8?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="13" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> = m, khi đó: <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large sinx=m\Leftrightarrow sinx=sin\alpha \Leftrightarrow x=\alpha +k2\pi" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXe4R_gaAUZLvJfqBfEAEODrL-rPOADCABvRLl-5peViWi3N40eVDustS_rR4AKHcCbbfvV6nc_Evwq1F9OVXMWv-nptnIveqnVqsavv2wcz9LlFu_chbetkDQl18aikgHQfBVTuykd62JssjE8fHEQhskkG?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="390" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> hoặc <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large x=\pi -\alpha +k2\pi" height="17" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd4ihhWLJbpdwAZHJc-NPRfRI86kuyXIE7ogzi1quADwqqLSypCn0YShzCg2EgSKcJh6pcSg-NFsWvwdopXuC1ntWkFfZsrPo4X4Unb4UmaIyzfz5nRQT_HSDFp7xbH0SLKy8qGcn-1eNZzwSpaXmuccNw?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="157" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">+ Trường hợp số đo góc được cho bằng đơn vị độ thì:  <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large sinx=sin\alpha ^{o}\Leftrightarrow x=\alpha ^{o}+k360^{o}" height="18" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdmxc45yYqkOPnSNzCqd_gc8JM8GMhZklTeBzYEp9N3wF9i72ZK1-d_ELiZIK2mrKoRhDSDPpzWpekzz7xwUXFMP09bk_3nrgpR_H9ptL9KGG3fKbx2DawL4QmTU1pZu07StEPoGbY2Ktsgx3rYGUiwF1nr?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="299" /><span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> hoặc <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large x=180^{o}-\alpha ^{o}+k360^{o}" height="18" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXcm0lEhqBHKiaDNLWa1mV0IoVo0jUmTBv63IeV4aNbExWL-kWaDtRCrw4nzZnSHNgUfazpoUkPnr5KgJ_AY5Wl6DWrYm_apzh842O0aP3SSXbWv1BGXLVlb9Ax3THy9zJAl6t4f02j7gPWvRYeXnaMMO2w?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="210" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">+ Trường hợp đặc biệt:  <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large sinx=0\Leftrightarrow x=k\pi" height="16" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXdgsf_zqy6qkd8ZpGwGKmk8r7Uz6ZAMiqFI-f0rARiQRMTNajpf5PcNzxO6Q2rs6XiLFzZ6yn_kqlBo5KFbvcWM_3jdXfGJ9x_odTOWGLOCCSidAZJXshBN6dlHLrFgn_GFCoRkqTPrqeYsDzN-ZuF6oUcG?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="181" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large sinx=1\Leftrightarrow x=\frac{\pi }{2}+k2\pi" height="40" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXewlfo--3HnKI5CVdb9VmcrKOg_r2-w0SqWG0kR6bFObwhaBl5iutXz2KOGYxqxGhzXIBUYDX9v3Ju1HDXQpWnR4CPK3OezFJ7umsWxpHMkTEUDSpFZOX3yD7oMFZiYAQ_59aE8yMJ5Z_Z0GlhfYPo1bwLw?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="235" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large sinx=-1\Leftrightarrow x=-\frac{\pi }{2}+k2\pi" height="40" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXd303_s1fGxPVjXCIgzj5bfnVtmaONyO6Kw9bdkP4nfsGZD4sn1-BQQtggW92SUdNIoaqhOEaeDklCPt3ZNljneLTyJILuIwvZCVWVsVTZC3y0PR2YlDwtUVphyHOGMO9TgaCPtZtT0-Pe6_Jys-epRSLnW?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="269" /> <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">+ Lưu ý: <span style="font-size: 11pt; font-family: Arial, sans-serif; background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"><img alt="\large k\in \mathbb{Z}" height="16" src="https://lh7-rt.googleusercontent.com/docsz/AD_4nXf0kTaqnBuvDSMgE6Br8B49XPIhjBRnrvseByNsCkdi6HzlX44yNrx445yNRshuINAR4tO4mREuzjJLVrdgtPVqOgzEPSUlyELeyf2QWsBxIHbLLRpnF_gYOxiL1NgsFPzBS8JcrJolJfSB2XEcQy9KgoEH?key=ajHCxxkT60nCv_wRB5XEXA" style="margin-left: 0px; margin-top: 0px;" width="52" /> Nguồn: [https://vuihoc.vn/tin/thpt-de-cuong-on-thi-giua-ki-1-mon-toan-11-chi-tiet-2157.html](https://vuihoc.vn/tin/thpt-de-cuong-on-thi-giua-ki-1-mon-toan-11-chi-tiet-2157.html)