# What is the Cartesian form of (-64,(17pi)/12)?

Nov 8, 2017

$\left(16.56 , 61.82\right)$

#### Explanation:

It can be seen from the diagram that the x coordinate of P is $r \cos \left(\theta\right)$ and the y coordinate of P is $r \sin \left(\theta\right)$

So:

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

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

From example:

$x = - 64 \cos \left(\frac{17 \pi}{12}\right) = 16.56$

$y = - 64 \sin \left(\frac{17 \pi}{12}\right) = 61.82$

Cartesian coordinate:

$\left(16.56 , 61.82\right)$