### Home > PC3 > Chapter 12 > Lesson 12.1.1 > Problem12-12

12-12.

Rewrite each set of coordinates as specified, then state the coordinates in two more equivalent polar forms.

1. polar: $(−2, \frac { 5 \pi } { 4 })$; Rewrite in rectangular form.

Graph the point by moving $2$ units directly left of the origin, then rotating $5π/4$ radians counterclockwise.

2. rectangular: $(−5, −3)$; Rewrite in polar form.

$r = \sqrt{x^2+y^2}$
$\theta = \tan^{-1}(\frac{y}{x})$
Remember to pay attention to the quadrant.