Answer
$C$
Work Step by Step
The point $(2,\frac{7\pi}{6})$ is obtained by rotating $\frac{7\pi}{6}=210^{\circ}$ counterclockwise to give an angle of $+\frac{7\pi}{6}$ and then moving 2 units from the pole and being on the terminal side of angle $\frac{7\pi}{6}$. The point is $C$.