化简：f（x）=2cosx(sinx-√3cosx - 知识问答

化简：f（x）=2cosx(sinx-√3cosx)+√3

1个回答

f(x)=2sinxcosx-2√3cos²x+√3
=sin2x-2√3(1+cos2x)/2+√3
=sin2x-√3cos2x
=2(sin2x*1/2-cos2x*√3/2)
=2(sin2xcosπ/3-cos2sinπ/3)
=2sin(2x-π/3)

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