证明sin(x+y)sin(x-y)=(sinx)^2-(siny)^2.

证明sin(x+y)sin(x-y)=(sinx)^2-(siny)^2.
数学人气:290 ℃时间:2020-01-23 15:09:31
优质解答
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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