Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 8 - Complex Numbers, Polar Equations, and Parametric Equations - Section 8.5 Polar Equations and Graphs - 8.5 Exercises - Page 396: 76

Answer

This is a graph of $~~r = a~\theta~~$ for $a=2$ and values of $\theta$ such that $-4\pi \leq \theta \leq 4\pi$
1555829032

Work Step by Step

This is a graph of $~~r = a~\theta~~$ for $a=2$ 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, $r = 8\pi$ when $\theta = 4\pi$ and the magnitude of $r$ is $8\pi$ when $\theta = -4\pi$ We can see the graph in the window $[-30,30]$ by $[-30,30]$
Small 1555829032
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.