# How do you find the rectangular coordinates of the point with polar coordinates (5,pi/2)?

Aug 24, 2014

To convert from from polar coordinates to rectangular coordinates, we must remember these:

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

It's useful to remember these when we need to do these types of conversions. Knowing the $r$ and $\theta$ from our question, we can find the rectangular coordinates:

$r = 5$

$\theta = \frac{\pi}{2}$

$x = \left(5\right) \cos \left(\frac{\pi}{2}\right) = \left(5\right) \left(0\right) = 0$
$y = \left(5\right) \sin \left(\frac{\pi}{2}\right) = \left(5\right) \left(1\right) = 5$

Therefore, our rectangular coordinates are:

$\left(0 , 5\right)$