Answer
The rectangular equation is, ${{x}^{2}}+{{y}^{2}}=y$
Work Step by Step
Using, ${{r}^{2}}={{x}^{2}}+{{y}^{2}}$ we will convert the polar equation to the rectangular equation.
Therefore,
$\begin{align}
& r=\sin \theta \\
& {{r}^{2}}=r\sin \theta \\
& {{x}^{2}}+{{y}^{2}}=r\sin \theta \\
& =y
\end{align}$
