f(x)=2cos2x+sin^2x,化简.详细步骤!

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f(x)=2cos2x+sin^2x,化简.详细步骤!
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f(x)=2cos2x+sin^2x,化简.详细步骤!
f(x)=2cos2x+sin^2x,化简.详细步骤!

f(x)=2cos2x+sin^2x,化简.详细步骤!
cos2x=cos^2 x-sin^2 x
2cos2x=2cos^2 x-2sin^2 x
f(x)=2cos^2 x-sin^2x
=cos2x+1-sin^2x
=cos2x+1+(1-cos2x)/2
=cos2x /2 +3/2