# What is the Cartesian form of ( 7 , ( 5pi)/3 ) ?

Feb 10, 2016

$\left(x , y\right) = \left(\frac{7}{2} , - \frac{7 \sqrt{3}}{2}\right)$

#### Explanation:

$\left(r , \theta\right) = \left(7 , \frac{5 \pi}{3}\right)$

$x = r \cos \theta$

$= 7 \cos \left(\frac{5 \pi}{3}\right)$
$= \frac{7}{2}$

y = r sin theta#

$= 7 \sin \left(\frac{5 \pi}{3}\right)$
$= - \frac{7 \sqrt{3}}{2}$

Therefore the Cartesian form is,

$\left(x , y\right) = \left(\frac{7}{2} , - \frac{7 \sqrt{3}}{2}\right)$