Trigonometry... Verify the identity~ (10pts)

2008-05-16 9:29 pm
Verify each identity :
1) sin2θ = (2cotθ) / ((1+cot^2)θ)
2) (sinθ-cosθ)^2 = 1-sin2θ

Verify means the answer should turn out to be x = x
Thank you~

回答 (1)

2008-05-16 11:53 pm
✔ 最佳答案
1. R.H.S=(2cosx/sinx)/(1 + cos^2s/sin^2x)=[(2cosx/sinx)sin^2x]/(sin^2x + cos^2x)=2cosxsinx=sin2x=L.H.S.
2. L.H.S.=(sinx-cosx)(sinx - cosx)=sin^2x-2sinxcosx + cos^2x =1-sin2x=R.H.S.


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