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已知sinx-siny=-1/3,cosx-cosy=1/2,求COS(X—Y)=
人气:355 ℃ 时间:2019-12-01 12:55:52
解答
sinx-siny=-1/3,(1) cosx-cosy=1/2 (2)(1)²+(2)²sin²x+sin²y-2sinxsiny+cos²x+cos²y-2cosxcosy=1/9+1/42-2(cosxcosy+sinxsiny)=13/362cos(x-y)=2-13/36=59/36cos(x-y)=59/72...
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