Answer
$(17, 4.22),(-17, 1.08)$
Work Step by Step
1. Given $x=-8, y=-15$ (quadrant III), we have $r=\sqrt {64+225}=17$ and $\theta=tan^{-1}(\frac{-15}{-8})\approx4.22$. Thus we have $(17, 4.22)$ in polar coordinates.
2. For the same point, let $r=-17$, we have $\theta\approx4.22-\pi\approx1.08$, thus we have $(-17, 1.08)$ in polar coordinates for the same point.
