## Trigonometry (11th Edition) Clone

Published by Pearson

# Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.5 Polar Equations and Graphs - 8.5 Exercises - Page 394: 23

#### Answer

$(-2, \frac{\pi}{3})$ (a) We can see the point plotted on the graph below. (b) We can write two other pairs of polar coordinates for this point: $(2, \frac{4\pi}{3})$ $(-2, -\frac{5\pi}{3})$ (c) $(x,y) = (-1, -\sqrt{3})$ #### Work Step by Step

$(-2, \frac{\pi}{3})$ (a) We can see the point plotted on the graph below. (b) We can write two other pairs of polar coordinates for this point: $(2, \frac{4\pi}{3})$ $(-2, -\frac{5\pi}{3})$ (c) We can find the rectangular coordinates: $r = 2$ and $\theta = \frac{4\pi}{3}$ $(x,y) = (r~cos~\theta, r~sin~\theta)$ $(x,y) = (2~cos~\frac{4\pi}{3}, 2~sin~\frac{4\pi}{3})$ $(x,y) = (-1, -\sqrt{3})$ After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.