# What is the Cartesian form of ( -8, (-7pi)/3 ) ?

Jun 11, 2017

$\left(- 8 , - 7 \frac{\pi}{3}\right) \to \left(- 4 , 4 \sqrt{3}\right)$

#### Explanation:

The conversion is $\left(r , \theta\right) \to \left(r \cos \left(\theta\right) , r \sin \left(\theta\right)\right)$

$\left(- 8 , - 7 \frac{\pi}{3}\right) \to \left(- 8 \cos \left(\frac{- 7 \pi}{3}\right) , - 8 \sin \left(\left(- 7 \frac{\pi}{3}\right)\right)\right)$

$\left(- 8 , - 7 \frac{\pi}{3}\right) \to \left(- 8 \left(0.5\right) , - 8 \left(- \frac{\sqrt{3}}{2}\right)\right)$

$\left(- 8 , - 7 \frac{\pi}{3}\right) \to \left(- 4 , 4 \sqrt{3}\right)$