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证明下列恒等式tan^2 θ *(1-sinθ)/(1+cosθ)=(1-cosθ)/(1+sinθ)
求详细过程
人气:262 ℃ 时间:2019-12-18 19:55:19
解答
即须证
tan^2 θ=[(1-cosθ)/(1+sinθ)]*[(1+cosθ)/(1-sinθ)]
=[(1-cosθ)(1+cosθ)]/[(1-sinθ)(1+sinθ)]
=(1-cos^2 θ)/(1-sin^2 θ)
=sin^2 θ/cos^2 θ
显然成立,倒推回去即可
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