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: 12


$$x^2+y^2 = y$$

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*}
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