trigonometrical identities 一問

2011-10-03 5:40 am
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sin3A / sin2A = 2cosA - 1/(2cosA)


求solution,謝謝

回答 (1)

2011-10-03 5:56 am
✔ 最佳答案
sin3A / sin2A
= sin(A + 2A) / sin2A
= (sinA cos2A + sin2A cosA) / (2 sinA cosA)
= (sinA (2cos²A - 1) + 2 sinA cos²A) / (2 sinA cosA)
= (4 sinA cos²A - sinA) / (2 sinA cosA)
= 2 cosA - 1/(2cosA)


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https://hk.answers.yahoo.com/question/index?qid=20111002000051KK01147

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