三角學問題 1

2007-05-11 6:11 am
prove that :

cos3θ / sinθ + sin3θ / cosθ = 2cot2θ

回答 (1)

2007-05-11 6:23 am
✔ 最佳答案
LHS = cos3θ / sinθ + sin3θ / cosθ
= (cos3θ cosθ + sin3θ sinθ)/(sinθcosθ)
= cos(3θ-θ) / 0.5sin2θ
= 2cos2θ/sin2θ
= 2cot2θ
= RHS


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