# Find a polar equation of the form r = f(theta) for the curve represented by the given Cartesian...

## Question:

Find a polar equation of the form {eq}r = f( \theta) {/eq} for the curve represented by the given Cartesian equation {eq}\displaystyle x = 3 {/eq}.

## Cartesian to Polar Equation:

Converting Cartesian equations into polar equations has lots of different applications in calculus.

To transform a Cartesian equation into a polar equation, we make use of the following identitites:

{eq}x = r \cos \theta {/eq}

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

{eq}x^2 + y^2 = r^2 {/eq}