Answer
$$x^2+y^2 = y$$
Work Step by Step
\begin{align*}
&r=\sin \theta \\
& \text{Multiply by r:}\cr
&r^2=r\sin \theta \\
& \text{We know that: } x^2+y^2=r^2\cr
& \text{We also know that: } rsin\theta=y\cr
&x^2+y^2= y
\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: 12
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