# What is the Cartesian form of (2,(pi)/4)?

and its polar polar coordinate be $\left(r , \theta\right)$
then $x = r \cos \theta \mathmr{and} y = r \sin \theta$
here $r = 2 \mathmr{and} \theta = \frac{\pi}{4}$
$x = 2 \cdot \cos \left(\frac{\pi}{4}\right) = 2 \cdot \frac{1}{\sqrt{2}} = \sqrt{2}$
$y = 2 \cdot \sin \left(\frac{\pi}{4}\right) = 2 \cdot \frac{1}{\sqrt{2}} = \sqrt{2}$
So Cartesian coordinate=$\left(\sqrt{2} , \sqrt{2}\right)$