已知sinx-siny=-1/3,cosx-cosy=1/2,求COS(X—Y)=

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已知sinx-siny=-1/3,cosx-cosy=1/2,求COS(X—Y)=
已知sinx-siny=-1/3,cosx-cosy=1/2,求COS(X—Y)=

已知sinx-siny=-1/3,cosx-cosy=1/2,求COS(X—Y)=
sinx-siny=-1/3,(1) cosx-cosy=1/2 (2)
(1)²+(2)²
sin²x+sin²y-2sinxsiny+cos²x+cos²y-2cosxcosy=1/9+1/4
2-2(cosxcosy+sinxsiny)=13/36
2cos(x-y)=2-13/36=59/36
cos(x-y)=59/72