Answer
$(-\frac{5}{2}, -\frac{5\sqrt 3}{2})$
Work Step by Step
Step 1. Read the quantities from the figure given in the Exercise: $r=5, \theta=-\frac{2\pi}{3}$
Step 2. Convert to rectangular coordinates: $x=r\cdot cos\theta=5cos(-\frac{2\pi}{3})=-\frac{5}{2}$ and
$y=r\cdot sin\theta=5sin(-\frac{2\pi}{3})=-\frac{5\sqrt 3}{2}$, thus the coordinates are $(-\frac{5}{2}, -\frac{5\sqrt 3}{2})$
