## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 6 - Section 6.4 - Graphs of Polar Equations - Concept and Vocabulary Check - Page 753: 4

#### Answer

To test whether the graph of a polar equation may be symmetric with respect to the line $\theta =\frac{\pi }{2}$ $\left( \text{y-axis} \right)$, replace $\left( r,\theta \right)$ with $\left( -r,-\theta \right)$.

#### Work Step by Step

When $\left( r,\theta \right)$ is replaced with $\left( -r,-\theta \right)$, if the resultant polar equation is equivalent to given polar equation then a graph of a polar equation exhibits symmetry with respect to the line $\theta =\frac{\pi }{2}$ $\left( \text{y-axis} \right)$.

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.