## 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 396: 77

#### Answer

This is a graph of $~~r = a~\theta~~$ for $a=1.5$ and values of $\theta$ such that $-4\pi \leq \theta \leq 4\pi$ #### Work Step by Step

This is a graph of $~~r = a~\theta~~$ for $a=1.5$ and values of $\theta$ such that $-4\pi \leq \theta \leq 4\pi$ Note that $r = 0$ when $\theta = 0$, and the magnitude of $r$ continues to increase as the magnitude of $\theta$ increases. This leads to a spiral shape. There is symmetry about the vertical axis because both positive and negative values of $\theta$ are included. At the endpoints of the spiral, $r = 6\pi$ when $\theta = 4\pi$ and the magnitude of $r$ is $6\pi$ when $\theta = -4\pi$ We can see the graph in the window $[-20,20]$ by $[-20,20]$ 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.