Jameson Powers

2022-02-03

What is the Cartesian form of $\left(100,\frac{7\pi }{12}\right)$?

### Answer & Explanation

tacalaohn

$x=r\mathrm{cos}\theta$
$y=r\mathrm{sin}\theta$
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 name given above...
$x=100\mathrm{cos}\left(\frac{7\pi }{12}\right)\approx -25.88$
$y=100\mathrm{sin}\left(\frac{7\pi }{12}\right)\approx 96.59$
Therefore, Cartesian Form: (-25.88, 96.59)

Do you have a similar question?

Recalculate according to your conditions!

Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?