化简(1-cos2θ+sin2θ)⼀(1+cos2θ+sin2θ)

2025-02-26 13:52:47
推荐回答(2个)
回答1:

(1-cos2θ+sin2θ)/(1+cos2θ+sin2θ)
=(2sin²θ+2sinθcosθ)/(2cos²θ+2sinθcosθ)
=sinθ/cosθ
=tanθ

回答2:

sin2θ=2tanθ/(1+tanθ²﹚

cos2θ=(1-tanθ²)/(1+tanθ²﹚

代入 得 原式=tanθ