怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)

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怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)
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怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)
怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)

怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)
f(x)=sin(2x+π/6)+√3cos(2x-π/6)-3sin(2x+π/2)
=(√3/2)sin2x+(1/2)cos2x+√3((√3/2)cos2x+(1/2)sin2x )-3cos2x
=√3sin2x - cos2x
=2sin(2x-π/6)