化简f(x)=(1+cos2x)sin^2x

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化简f(x)=(1+cos2x)sin^2x化简f(x)=(1+cos2x)sin^2x化简f(x)=(1+cos2x)sin^2xf(x)=(1+cos2x)sin^2x=(1+cos2x)(1-c

化简f(x)=(1+cos2x)sin^2x
化简f(x)=(1+cos2x)sin^2x

化简f(x)=(1+cos2x)sin^2x
f(x)=(1+cos2x)sin^2x
=(1+cos2x)(1-cos2x)/2
=(1-cos^22x)/2
=sin^22x/2
=[(1-cos4x)/2]/2
=1/4-1/4*cos4x

f(x)=(1+2cos2x)(1-cos2x)/2=[1-(cos2x)^2]/2=[1-(1+cos4x)/2]/2=1/4-cos4x/4

f(x)=(1+cos2x)sin^2x
=(1+2cos²x-1)sin²x
=2cos²xsin²x
=1/2×4cos²xsin²x
=1/2×(2cosxsinx)²
=(sin²2x)/2