# For the given polar equation, write an equivalent rectangular equation. {eq}r^2 \sin(2 \theta) = 26 {/eq}

## Question:

For the given polar equation, write an equivalent rectangular equation.

{eq}r^2 \sin(2 \theta) = 26 {/eq}

## Polar and Rectangular Coordinates:

Polar coordinates as well as rectangular coordinates are often used when representing the various curves in two-dimensional space.

Between these coordinates the following relationship is verified:

{eq}\left\{ {\begin{array}{*{20}{c}} {x = r\cos \theta }\\ {y = r\sin \theta } \end{array}} \right. {/eq}