基本三角學問題

2012-04-23 11:45 pm
要完整答案。thankyou化簡 sinq - cosq
sinq - 1

回答 (1)

2012-04-24 2:06 am
✔ 最佳答案
(sinθ - cosθ) / (sinθ - 1)
= (sinθ - cosθ) / (sinθ - 1) * (sinθ + 1) / (sinθ + 1)
= (sinθ - cosθ) (sinθ + 1) / (sin² θ - 1)
= (sinθ - cosθ) (sinθ + 1) / - cos² θ
= - (sinθ - cosθ) / cosθ * (sinθ + 1) / cosθ
= (1 - tanθ) (tanθ + secθ)


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