# What is the Cartesian form of (-44,(5pi)/12))?

Jan 16, 2016

$\left(11.388 , 42.501\right)$

#### Explanation:

Note the Cartesian form cannot have the modulus negative so I assume the $- 44$ should be $44$.

To convert polar form $\left(r , \theta\right)$ to rectangular form $\left(x , y\right)$, we use the following transformations :

$x = r \cos \theta = 44 \cos \left(\frac{5 \pi}{12}\right) = 11.388$.

$y = r \sin \theta = 44 \sin \left(\frac{5 \pi}{12}\right) = 42.501$.