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半角的正切公式证明 tanx/2=sinx/1+cosx=1-cosx/sinx
人气:355 ℃ 时间:2020-05-12 17:46:17
解答
证明:tan(x/2)=sin(x/2)/cos(x/2)
=2sin(x/2)cos(x/2)/[cos(x/2)]^2
=sinx/(1+cosx)
=sinx(1-cosx)/[1-(cosx)^2]
=sinx(1-cosx)/(sinx)^2
=(1-cosx)/sinx
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