## 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: 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.

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