中3三角恆等式hw~helps!!

2009-05-04 6:53 am
1.(sinθ=cosθ)^2 - 2sinθcosθ

2.tanθ-(sin^3θ/cosθ)

唔趺要步驟,thanks

回答 (1)

2009-05-04 7:02 am
✔ 最佳答案
1.(sinθ+cosθ)2 - 2sinθcosθ
=(sin2θ+cos2θ+2sinθcosθ)- 2sinθcosθ
=(1+2sinθcosθ)- 2sinθcosθ
=1

2.tanθ-(sin3θ/cosθ)
=tanθ-(sin2θtanθ)
=tanθ(1-sin2θ)
=tanθcos2θ
=sinθcosθ


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