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

May 15, 2017

$\left(3.5 , 7 \frac{\sqrt{3}}{2}\right)$

#### Explanation:

To convert a polar coordinate to Cartesian form, use the parametric form. Converting polar to parametric form is as follows:

$x = r \cos \theta$
$y = r \sin \theta$

$r = 7$ and $\theta = 7 \frac{\pi}{3}$ based on our problem. Plug into the formula:

$x = 7 \cos \left(7 \frac{\pi}{3}\right) = 3.5$
$y = 7 \sin \left(7 \frac{\pi}{3}\right) = 7 \frac{\sqrt{3}}{2}$

Write this all together:

$\left(3.5 , 7 \frac{\sqrt{3}}{2}\right)$