# How do you convert polar to rectangular coordinates: (2, 3pi/4)?

Dec 28, 2015

$- 1 , 142 + 1 , 414 i$

#### Explanation:

For a complex number $\left(r , \theta\right)$ in polar form, we may convert it to rectangular form $\left(x , y\right) = x + i y$ as follows :

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

So in this particular case we get

$x = 2 \cos \left(\frac{3 \pi}{4}\right) - 1 , 142$

$y = 2 \sin \left(\frac{3 \pi}{4}\right) = 1 , 414$