Answer
Quadrant III
Work Step by Step
$\frac{7\pi}{6}$ radians
It is a positive angle and obtained by rotating the terminal side counterclockwise $\frac{7\pi}{6}$ = $\pi$ + $\frac{\pi}{6}$ radians.
So $\frac{7\pi}{6}$ radians lies in quadrant III
Find the attachment