化简:f(x)=sinxcosx+[(根号3)/2]cos2x

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化简:f(x)=sinxcosx+[(根号3)/2]cos2x
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化简:f(x)=sinxcosx+[(根号3)/2]cos2x
化简:f(x)=sinxcosx+[(根号3)/2]cos2x

化简:f(x)=sinxcosx+[(根号3)/2]cos2x
f(x)=sinxcosx+[(根号3)/2]cos2x
=1/2sin2x+√3/2cos2x
=sin2xcos60°+cos2xsin60°
=sin(2x+60°)

f(x)=sinxcosx+[(根号下3)/2]cos2x
=(2sinxcosx)/2+[(根号下3)/2]cos2x
=(1/2)(sin2x)+[(根号下3)/2]cos2x
=sin2xcosπ/3+cos2xsinπ/3
=sin(2x+π/3)