sin^2(x/2)]*[cos^2(x/2)]等于多少啊

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sin^2(x/2)]*[cos^2(x/2)]等于多少啊
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sin^2(x/2)]*[cos^2(x/2)]等于多少啊
sin^2(x/2)]*[cos^2(x/2)]等于多少啊

sin^2(x/2)]*[cos^2(x/2)]等于多少啊
[sin^2(x/2)]*[cos^2(x/2)]
=[sin(x/2)cos(x/2)]^2
=[(1/2)*2*sin(x/2)cos(x/2)]^2
=[(1/2)sinx]^2
=(1/4)(sinx)^2

sin^2(x/2)]*[cos^2(x/2)]
=(sinx/2cosx/2)^2
=(1/2*2sinx/2cosx/2)^2
=sinx^2/4

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