Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.4 - Graphs of Polar Equations - Concept and Vocabulary Check - Page 753: 2


In polar coordinates, the graphs of $r=a\cos \theta $ and $r=a\sin \theta $ are circles.

Work Step by Step

The graphs of $r=a\sin \theta $ and $r=a\cos \theta $ look like circles of radius $a$ with center at the point $\left( a,0 \right)$ and $\left( a,\frac{\pi }{2} \right)$ on polar coordinates, respectively. The graph of $r=a\sin \theta $ is symmetric with line $\theta =\frac{\pi }{2}$ and the graph of $r=a\cos \theta $ is symmetric with the polar axis.
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