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已知x,y∈(0,π),求满足方程cosX+cosy-cos(x+y)=3/2的x,y的值
人气:296 ℃ 时间:2020-05-13 02:24:52
解答
cosx+cosy=2cos((x+y)/2)*cos((x-y)/2),cos(x+y)=2[cos((x+y)/2)]^2-1cosX+cosy-cos(x+y)=3/2可以变为2cos((x+y)/2)*cos((x-y)/2)-2[cos((x+y)/2)]^2+1=3/2整理为4[cos((x+y)/2)]^2-4cos((x+y)/2)*cos((x-y)/2)+1=0...
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