# What is the Cartesian form of ( -7 , (-35pi)/12 ) , where the original coordinates are in polar?

May 27, 2017

The point is: $\left(6.76 , 1.81\right)$

#### Explanation:

To convert to Cartesian, use the equations:

x = $r \cos \left(\theta\right)$ and $y = r \sin \left(\theta\right)$

We are given: $r = - 7$ and $\theta = \frac{- 35 \pi}{12}$

x = $- 7 \cos \left(\frac{- 35 \pi}{12}\right)$ and $y = - 7 \sin \left(\frac{- 35 \pi}{12}\right)$

$x \approx 6.76$ and $y \approx 1.81$