已知函数F(X)=2sin(X-π/3)cos(x-π/3)+2根号3cos^2(x-π/3)-根号3,求其最大值及最大只对应的x

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已知函数F(X)=2sin(X-π/3)cos(x-π/3)+2根号3cos^2(x-π/3)-根号3,求其最大值及最大只对应的x

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f(x)=sin(2X-2π/3)+根号3cos(2x-2π/3)=2sin(2x-π/3)
最大值即当2x-π/3=kπ+π/2时