# What is the Cartesian form of (2,(-pi )/3)?

Sep 27, 2017

$\left(1 , - \sqrt{3}\right)$

#### Explanation:

Recall the conversion formulas to move from polar coordinates to cartesian coordinates:

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

Thus:

$x = 2 \cdot \cos \left(\frac{- \pi}{3}\right) = 2 \cdot \left(\frac{1}{2}\right) = 1$
$y = 2 \cdot \sin \left(\frac{- \pi}{3}\right) = 2 \cdot \left(- \frac{\sqrt{3}}{2}\right) = - \sqrt{3}$