Answer
$$y=2$$
Work Step by Step
Since
$ y=r\sin\theta,\ \ x= r\cos\theta $, then
\begin{align*}
r&=2\csc \theta \\
r&= \frac{2}{\sin \theta }\\
r \sin \theta &=2 \\ y&=2 \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: 14
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