What is the Cartesian form of ( -12 , (-3pi)/4 ) ?

Mar 1, 2016

$x = r \cos \theta = - 12 \cos \left(\frac{- 3 \pi}{4}\right) = 8.49$
$y = r \sin \theta = - 12 \sin \left(\frac{- 3 \pi}{4}\right) = 8.49$

Explanation:

To change from polar form to cartesian use the formula x = r cos theta and y = r sin theta and substitute in -12 for r and -3pi/4 for theta then simplify.