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已知θ≠kπ(k∈Z)求证:tan(θ/2)=(1-cosθ)/sinθ
人气:165 ℃ 时间:2020-03-30 18:13:49
解答

=(1-1+2sin²(θ/2))/2sin(θ/2)cos(θ/2) .倍角公式
=2sin²(θ/2)/2sin(θ/2)cos(θ/2)
=sin(θ/2)/cos(θ/2)
=tan(θ/2)
=左
得证
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