# What is the Cartesian form of ( -12 , (13pi)/3 ) ?

Aug 22, 2017

The Cartesian form is: $\left(- 6 , - 6 \sqrt{3}\right)$

#### Explanation:

Use the conversion equations:

$x = r \cos \left(\theta\right)$ and $y = r \sin \left(\theta\right)$

$x = - 12 \cos \left(\frac{13 \pi}{3}\right)$ and $y = - 12 \sin \left(\frac{13 \pi}{3}\right)$

$x = - 6$ and $y = - 6 \sqrt{3}$