# What is the Cartesian form of (100,(7pi )/12)?

Nov 28, 2015

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

#### Explanation:

First, note that $\frac{7 \pi}{12}$ is in Quadrant II which means the x-coordinate will be negative and the y-coordinate positive .

Using the identity above ...

$x = 100 \cos \left(\frac{7 \pi}{12}\right) \approx - 25.88$
$y = 100 \sin \left(\frac{7 \pi}{12}\right) \approx 96.59$

Cartesian Form: $\left(- 25.88 , 96.59\right)$

hope that helped