How do you convert the polar coordinate ( 8.2620 , 0.6653 ) into cartesian coordinates?

Sep 13, 2015

(6.5;5.1)

Explanation:

To convert polar co-ordinates (r;theta), also written as $r \angle \theta$ , into rectangular co-ordinates (x;y), also written as $x + i y$ , make use of the following formula, which is as a result of standard trigonometry in the associated right-angled triangle that may be drawn in the Argand diagram we plotting the associated complex number. Remember that $\theta$ is in radianshere.

$x = r \cos \theta$
$y = r \sin \theta$

So in this case,
$x = 8 , 2620 \cos 0 , 6653 = 6 , 5$
$y = 8 , 2620 \sin 0 , 6653 = 5 , 1$

Alternatively, most scientific calculators can convert directly between rectangular and polar forms by just punching it in.