怎么化简√3cos^x+sinxcosx-√3/2

怎么化简√3cos^x+sinxcosx-√3/2为sin(2x+ π 3 )

1个回答

√3cos^2x+sinxcosx-√3/2
=√3/2(1+cos2x)+1/2*2sinxcosx-√3/2
=√3/2cos2x+1/2sin2x
=sinπ/ 3cos2x+cosπ/ 3sin2x
=sin(2x+ π /3 )

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