Answer
The solutions of the equation is $x=\frac{\pi }{4}+n\pi $, where n is any integer.
Work Step by Step
The x in $\tan x=1$. Because $\tan \frac{\pi }{4}=1$, and the solution of $\tan x=1$ in [0, $\pi $ ) is:
$x=\frac{\pi }{4}$
The period of the tangent function is $\pi $, and the solutions are given by:
$x=\frac{\pi }{4}+n\pi $, where n is any integer
