Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.3 Polar Coordinates - Exercises - Page 617: 15


$$x-y =1$$

Work Step by Step

Since $ y=r\sin\theta,\ \ x= r\cos\theta $, then \begin{align*} r&=\frac{1}{\cos \theta-\sin \theta}\\ r\cos \theta-r\sin \theta&=1\\ x-y&=1 \end{align*}
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