Precalculus (6th Edition) Blitzer

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

Chapter 6 - Section 6.3 - Polar Coordinates - Exercise Set - Page 743: 68


The rectangular equation is ${{x}^{2}}+{{y}^{2}}=x$.

Work Step by Step

Using ${{r}^{2}}={{x}^{2}}+{{y}^{2}}$ we will convert the polar equation to the rectangular equation. $x=r\cos \theta,y=r\sin \theta $ Therefore, $\begin{align} & r=\cos \theta \\ & {{r}^{2}}=r\cos \theta \\ & {{x}^{2}}+{{y}^{2}}=r\cos \theta \\ & =x \end{align}$
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