# How do you convert the polar coordinate (6, 3/2 pi) into cartesian coordinates?

Feb 25, 2016

(0 , -6 )

#### Explanation:

To convert from Polar to Cartesian coordinates , use the formulae that links them.

• x = rcostheta

• y = rsintheta

here r= 6 and $\theta = \frac{3 \pi}{2}$

hence x$= 6 \cos \left(\frac{3 \pi}{2}\right) = 0$

and y $= 6 \sin \left(\frac{3 \pi}{2}\right) = - 6$