# What is the Cartesian form of (33,(3pi)/8)?

Jun 26, 2017

$\left(12.629 , 30.488\right)$

#### Explanation:

We're given a polar coordinate and asked to find the Cartesian (rectangular) form of the coordinate.

We can picture this coordinate point like a vector, where $33$ is its magnitude and $\frac{3 \pi}{8}$ is the angle.

The $x$- and $y$-coordinates of this point are given by

x = 33cos((3pi)/8) = color(red)(12.629

y = 33sin((3pi)/8) = color(blue)(30.488

The Cartesian form of this polar coordinate is thus

$\left(\textcolor{red}{12.629} , \textcolor{b l u e}{30.488}\right)$