# What is the Cartesian form of (-2,(-11pi) /16)?

Cartesian form $\left(- 2 \cdot \cos \left(\frac{- 11 \pi}{16}\right) , - 2 \cdot \sin \left(\frac{- 11 \pi}{16}\right)\right) = \left(1.111 , 1.663\right)$

#### Explanation:

The given $\left(r , \theta\right) = \left(- 2 , - \frac{11 \pi}{16}\right)$

using

$x = r \cdot \cos \theta = - 2 \cdot \cos \left(\frac{- 11 \pi}{16}\right) = 1.111$

$y = r \cdot \sin \theta = - 2 \cdot \sin \left(\frac{- 11 \pi}{16}\right) = 1.663$

and our Cartesian form $\left(x , y\right) = \left(1.111 , 1.663\right)$

I hope the explanation is useful....God bless..