Answer
$\frac{\pi}{4},\frac{3\pi}{4},\frac{5 \pi}{4}\frac{7 \pi}{4}$
Work Step by Step
Need to find the range for $x$ for the equation
$|tanx|=1$
$tanx=±1$
Since, $tanx>0$ on first and third quadrant and $tanx<0$ on second and fourth quadrant, thus, x must lie on $\frac{\pi}{4},\frac{3\pi}{4},\frac{5 \pi}{4}\frac{7 \pi}{4}$