## Precalculus (6th Edition) Blitzer

The solutions of the equation are $x=n\pi$, where n is any integer.
The x in $\tan x=0$. Because $\tan 0=0$, and the solutions of $\tan x=0$ in [0, $\pi$ ) are: $x=0$ The period of the tangent function is $\pi$, and the solutions are given by: \begin{align} & x=0+n\pi \\ & =n\pi \end{align} where n is any integer.