证明下列恒等式(sinθ+cosθ)/(1-tan^2θ)+sin^2θ/(sinθ-cosθ)=sinθ+cosθ_数学解答

证明下列恒等式(sinθ+cosθ)/(1-tan^2θ)+sin^2θ/(sinθ-cosθ)=sinθ+cosθ

人气：236 ℃　时间：2020-03-31 02:41:10

解答

(sinθ+cosθ)/(1-tan²θ)+sin²θ/(sinθ-cosθ)=(sinθ+cosθ)/(1-sin²θ/cos²θ)+sin²θ/(sinθ-cosθ)=(sinθ+cosθ)/[(cos²θ-sin²θ)/cos²θ]+sin²θ/(sinθ-cos...