Let f(x)=cos(x)+3sin(x)f(x) = \cos(x) + \sqrt{3}\sin(x)f(x)=cos(x)+3sin(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].
2
\sqrt{3}
1
4