证明sin(x+y)sin(x-y)=sinx-siny
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证明sin(x+y)sin(x-y)=sinx-siny
sin(x+y)sin(x-y) =-1/2(cos(x+y+x-y)—cos(x+y-x+y)) =-1/2(cos2x—cos2y) =-1/2(1-2(sinx)^2-1+2(siny)^2) =(sinx)^2-(siny)^2
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