Answer
$(\frac{\sqrt 2}{2},\frac{\sqrt 2}{2})$
See graph.
Work Step by Step
1. Given polar coordinates $(-1,\frac{5\pi}{4})$, use transformation formulas, we have
$x=(-1)cos(\frac{5\pi}{4})=\frac{\sqrt 2}{2}$ and $y=(-1)sin(\frac{5\pi}{4})=\frac{\sqrt 2}{2}$,
thus the rectangular coordinates $(\frac{\sqrt 2}{2},\frac{\sqrt 2}{2})$
2. See graph.
