meili 发表于 2022-10-27 15:30:32

证明tanθ×((1-sinθ)/(1+cosθ))=cotθ×((1-cosθ)/(1+sinθ))

<p>问题:证明tanθ×((1-sinθ)/(1+cosθ))=cotθ×((1-cosθ)/(1+sinθ))
<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">黄昌继的回答:<div class="content-b">网友采纳  tanθ[(1-sinθ)/(1+cosθ)][(1+sinθ)/(1-cosθ)]  =tanθ(/)  =tanθ[(cosθ)^2)/(sinθ)^2)]  =(sinθ/cosθ)[(cosθ)^2)/(sinθ)^2)]  =cosθ/sinθ  =cotθ  即得tanθ[(1-sinθ)/(1+cosθ)]=cotθ[(1-cosθ)/(1+sinθ)]
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