# How do you find the rectangular coordinates of the point with polar coordinates (2,pi/4)?

Since $\left(x , y\right) = \left(r \cos \theta , r \sin \theta\right)$,
$\left(x , y\right) = \left(2 \cos \left(\frac{\pi}{4}\right) , 2 \sin \left(\frac{\pi}{4}\right)\right) = \left(\sqrt{2} . \sqrt{2}\right)$