化简:y=2sinxsin(x-π/2)+cos²x-sin²x

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化简:y=2sinxsin(x-π/2)+cos²x-sin²x
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化简:y=2sinxsin(x-π/2)+cos²x-sin²x
化简:y=2sinxsin(x-π/2)+cos²x-sin²x

化简:y=2sinxsin(x-π/2)+cos²x-sin²x
f(x)=-2sinxcosx+cos2x
=sin2x+cos2x
=√2(√2/2sin2x+√2/2cos2x)
=√2sin(2x+π/4)