# Find a Cartesian equation for the curve described by the given polar equation. {eq}r=3 \sin \theta {/eq}

## Question:

Find a Cartesian equation for the curve described by the given polar equation.

{eq}r=3 \sin \theta {/eq}

## Converting an Equation from Polar to Cartesian Coordinates:

To convert a polar equation {eq}r = f(\theta) {/eq} to Cartesian coordinates, we use the formulas {eq}r = \sqrt{x^2 + y^2} \\ y = r \sin \theta \\ x = r \cos \theta. {/eq} Sometimes we can multiply both sides of the equation by {eq}r {/eq} to simplify the conversion process.