cos(2x-π/2)=sin 2x

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cos(2x-π/2)=sin2xcos(2x-π/2)=sin2xcos(2x-π/2)=sin2xcos(2x-π/2)=cos2xcosπ/2+sin2xsinπ/2=cos2x×0+sin2x

cos(2x-π/2)=sin 2x
cos(2x-π/2)=sin 2x

cos(2x-π/2)=sin 2x
cos(2x-π/2)
=cos2xcosπ/2+sin2xsinπ/2
=cos2x×0+sin2x×1
=sin2x

cos(2x-π/2)=cos(2x)cos(π/2)+sin(2x)sin(π/2)
=cos(2x)x0+sin(2x)x1
=sin(2x)

诱导公式
cos(-a)=cosa
cos(π/2-a)=sina
所以cos(2x-π/2)
=cos[-(2x-π/2)]
=cos(π/2-2x)
=sin2x