## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 6 - Section 6.4 - Graphs of Polar Equations - Exercise Set - Page 755: 84

#### Answer

As the value of n increases, the number of loops of $\cos n\theta$ increases. If n is odd, there are n loops and $\theta \,\max \,=\,\pi$ traces the graph once, while if n is even, there are 2n loops and $\theta \,\max \,=\,2\pi$ traces the graph once. Yes, the conclusions are the same as for $\sin \,n\theta$.

#### Work Step by Step

From the graphs, it can be observed that the number of loops of $\cos n\theta$ increases with increase in the value of n. If n is odd, there are n loops and $\theta \,\max \,=\,\pi$ traces the graph once, while if n is even, there are 2n loops and $\theta \,\max \,=\,2\pi$ traces the graph once. Yes, the conclusions are the same as for $\sin \,n\theta$.

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.