What is the Cartesian form of ( 2, (8pi)/3 ) ?

Apr 17, 2016

$x = - 1$
$y = 1 , 73$

Explanation:

$A = \left(2 , \frac{8 \pi}{3}\right)$

$r = 2$
$\theta = \frac{8 \pi}{3}$

$\sin \left(\frac{8 \pi}{3}\right) = 0 , 866$

$\cos \left(\frac{8 \pi}{3}\right) = - 0 , 5$

$x = 2 \cdot \cos \theta$
$x = - 2 \cdot 0 , 5 = - 1$

$y = 2. \sin \theta$
$y = 2 \cdot 0 , 866$
$y = 1 , 73$