## 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: 13

#### Answer

(a) We can see the point plotted on the graph below. (b) We can write two other pairs of polar coordinates for this point: $(1, -315^{\circ})$ $(-1, 225^{\circ})$ (c) $(x,y) = (\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ #### Work Step by Step

(a) We can see the point plotted on the graph below. (b) $(1, 45^{\circ})$ We can write two other pairs of polar coordinates for this point: $(1, -315^{\circ})$ $(-1, 225^{\circ})$ (c) We can find the rectangular coordinates: $r = 1$ and $\theta = 45^{\circ}$ $(x,y) = (r~cos~\theta, r~sin~\theta)$ $(x,y) = (1~cos~45^{\circ}, 1~sin~45^{\circ})$ $(x,y) = (\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2})$ 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.