# What is the Cartesian form of ( 15 , ( 7pi)/3 ) ?

Aug 14, 2017

$\left(\frac{15}{2} , 15 \frac{\sqrt{3}}{2}\right)$

#### Explanation:

In Polar coordinates a point is represented as $P \left(r , \theta\right)$
In Cartesian form it is represented as $P \left(x , y\right)$
Where $x = r \cos \theta$
And $y = r \sin \theta$
$\therefore$ Cartesian form of $P \left(15 , \frac{7 \pi}{3}\right)$ will be
$x = 15 \times \cos \left(\frac{7 \pi}{3}\right) = \frac{15}{2}$
$y = 15 \times \sin \left(\frac{7 \pi}{3}\right) = 15 \frac{\sqrt{3}}{2}$
$\therefore$ The point in Cartesian coordinate will be $P \left(\frac{15}{2} , 15 \frac{\sqrt{3}}{2}\right)$