# What is the Cartesian form of ( -5 , ( - 16pi)/3 ) ?

$\left(\frac{5}{2} , \frac{- 5 \sqrt{3}}{2}\right)$

#### Explanation:

$x = r \cos \theta$

$x = - 5 \cdot \cos \left(- 16 \frac{\pi}{3}\right)$

$x = \frac{5}{2}$

and

$y = r \cdot \sin \theta$

$y = - 5 \cdot \sin \left(- 16 \frac{\pi}{3}\right)$

$y = \frac{- 5 \sqrt{3}}{2}$