What is the Cartesian form of (45,(-15pi)/8)?

Jun 10, 2016

It is $\left(41.57 , 17.22\right)$.

Explanation:

Your point is given in coordinates $\left(r , \theta\right)$.

The conversion is

$x = r \cos \left(\theta\right)$

$y = r \sin \left(\theta\right)$

substituting the numbers

$x = 45 \cdot \cos \left(- \frac{15 \pi}{8}\right) \setminus \approx 41.57$

$y = 45 \cdot \sin \left(- \frac{15 \pi}{8}\right) \setminus \approx 17.22$.