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Trigonometryhard
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Let f(x)=cos⁡(x)+3sin⁡(x)f(x) = \cos(x) + \sqrt{3}\sin(x)f(x)=cos(x)+3​sin(x). Determine the exact value of the global maximum of f(x)f(x)f(x) on the interval [0,2π][0, 2\pi][0,2π].