# How do you convert 4x=4y to polar form?

Oct 17, 2016

$\theta = \frac{\pi}{4}$

#### Explanation:

he relation between Cartesian coordinate $\left(x , y\right)$ its polar conversin $\left(r , \theta\right)$ is given by

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

Hence $4 x = 4 y$

$\Leftrightarrow 4 r \cos \theta = 4 r \sin \theta$

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

or $\sin \frac{\theta}{\cos} \theta = 1$

or $\tan \theta = 1$

ot $\theta = \frac{\pi}{4}$