# How do you convert  (6, 3/2 pi)  into cartesian form?

$\left(x , y\right) = \left(0 , 6\right) .$
Polar co-ords. r,theta) can be converted into carts. by using the formula ; x=rcostheta, y=rsintheta.
Hence, $x = 6 \cos \left(\frac{\pi}{2}\right) = 6 \cdot 0 = 0$, $y = 6 \sin \left(\frac{\pi}{2}\right) = 6 \cdot 1 = 6$, giving,
$\left(x , y\right) = \left(0 , 6\right) .$