Determine the interval on which f(x)=sin(x)f(x) = \sin(x)f(x)=sin(x) is increasing on [0,2π][0, 2\pi][0,2π].
[0,π2][0, \frac{\pi}{2}][0,2π] and [3π2,2π][\frac{3\pi}{2}, 2\pi][23π,2π]
[π2,3π2][\frac{\pi}{2}, \frac{3\pi}{2}][2π,23π]
[0,π][0, \pi][0,π]