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问题: sinx*siny-cosx*cosy=0,sinx*cosx-siny*cosy=?

解答:

sinxsiny-cosxcosy=0
--->cosxcosy-sinxsiny=0
--->cos(x+y)=0
sinxcosx-sinycosy
=(2sinxcosx-2sinycosy)/2
=(sin2x-sin2y)/2
=2cos(x+y)sin(x-y)/2
=0*sin(x-y)
=0