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: 74f

Answer

In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form $r = a \pm b~cos~\theta$ (where $a$ may be 0) are symmetric with respect to polar axis.

Work Step by Step

Note that $cos~(-\theta) = cos~\theta$ According to part (a), the graph of $r = f(\theta)$ is symmetric with respect to the polar axis if substitution of $-\theta$ for $\theta$ leads to an equivalent equation. In general, the completed statements in parts (a)-(e) mean that the graphs of polar equations of the form $r = a \pm b~cos~\theta$ (where $a$ may be 0) are symmetric with respect to polar axis.
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.