MAT187 L01 - Polar Coordinates

#MAT187 PCE

Polar to cartesian coordinates
$x=r\cos (\theta )$
$y=r\sin (\theta )$

Cartesian to polar coordinates
$r^2=x^2+y^2$
$\tan (\theta )=\frac{y}{x}$ $\theta$ in radians

You can convert both individual coordinates and whole functions between coordinate systems.

Important: there is a domain restriction for arctan
$\arctan (\theta )$ has a domain restriction of $[-\frac{\pi }{2},\frac{\pi }{2}]$. So, if you want an angle outside of that domain, make sure to add $\pi n,nϵZ$.