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化简f(x)=sinx/(sinx+2sinx/2)化简到哪一步可以求周期,求详解
最好是用sinx=2cos(x/2)sin(x/2)解的
人气:231 ℃ 时间:2020-10-02 02:56:49
解答
f(x)=sinx/(sinx+2sinx/2)
=2sin(x/2)cos(x/2)/[2sin(x/2)cos(x/2)+2sinx/2]
=cos(x/2)/[cos(x/2)-1]
=1-1/(cosx/2-1)
T=2π/(π/2)=4……抱歉……可不可以告诉我怎么由cos(x/2)/[cos(x/2)-1]到1-1/(cosx/2-1)?拆分cos(x/2)/[cos(x/2)-1] =cos(x/2)-1+1]/[cos(x/2)-1] =1+-1/(cosx/2-1)抱歉,之前写错了
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