## 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: 24

#### Answer

$(-5, \frac{5\pi}{6})$ (a) We can see the point plotted on the graph below. (b) We can write two other pairs of polar coordinates for this point: $(5, \frac{11\pi}{6})$ $(-5, -\frac{7\pi}{6})$ (c) $(x,y) = (\frac{5\sqrt{3}}{2}, -\frac{5}{2})$ #### Work Step by Step

$(-5, \frac{5\pi}{6})$ (a) We can see the point plotted on the graph below. (b) We can write two other pairs of polar coordinates for this point: $(5, \frac{11\pi}{6})$ $(-5, -\frac{7\pi}{6})$ (c) We can find the rectangular coordinates: $r = 5$ and $\theta = \frac{11\pi}{6}$ $(x,y) = (r~cos~\theta, r~sin~\theta)$ $(x,y) = (5~cos~\frac{11\pi}{6}, 5~sin~\frac{11\pi}{6})$ $(x,y) = (\frac{5\sqrt{3}}{2}, -\frac{5}{2})$ 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.