# How do you convert 5x=5y to polar form?

Oct 13, 2016

$5 x = 5 y$ in polar form is $\theta = \frac{\pi}{4}$

#### Explanation:

Relation between Cartesian coordinates $\left(x , y\right)$ and polar coordinates $\left(r , \theta\right)$ is given by

$x = r \cos \theta$ and $y = r \sin \theta$

Hence $5 x = 5 y$ in polar form can be written as

$5 r \cos \theta = 5 r \sin \theta$

or $\cos \theta = \sin \theta$

or $\tan \theta = 1$