高中三角函数证明
求证:tanα/2=sinα/1+cosα
tanα/2=1-cosα/sinα
人气:241 ℃ 时间:2020-04-10 18:52:28
解答
tana/2=(sina/2)/cosa/2=(sina/2*cosa/2)/(cosa/2)^2=2(sina/2*cosa/2)/2(cosa/2)^2=sina/2(cosa/2)^2=sina/cosa+1tana/2=(sina/2)/cosa/2=(sina/2)^2/(sina/2)(cosa/2)=2(sina/2)^2/2(sina/2)(cosa/2)=1-cosa/sina
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