# How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: 22π/3?

Coordinate of point M(x, y) , extremity of the arc $\frac{22 \pi}{3}$
$x = \cos \left(\frac{2 \pi}{3} + 20 \pi\right) = \cos \left[\frac{2 \pi}{3}\right] = - \cos \left(\frac{\pi}{3}\right) = - \frac{1}{2}$
$y = \sin \left(\frac{2 \pi}{3} + 20 \pi\right) = \sin \left[\frac{2 \pi}{3}\right] = \sin \left(\frac{\pi}{3}\right) = \frac{s q r 3}{2}$