Find the set of x satisfying \(0\leq x\leq 2\pi\) at which the function tan(x) is increasing.
The function is always increasing, right? So does that mean the solution would be \((0, \frac{\pi}{2})\cup(\frac{\pi}{2}, \frac{3\pi}{2})\cup(\frac{3\pi}{2}, 2\pi)\)?