Jameson Powers

2022-02-03

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

tacalaohn

Beginner2022-02-04Added 13 answers

$x=r\mathrm{cos}\theta$

$y=r\mathrm{sin}\theta$

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)