Answer
$$x-y =1$$
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*}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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
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