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

Question

1547 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-27T03:03:39

$(1, -sqrt(3))$

Recall the conversion formulas to move from polar coordinates to cartesian coordinates:

$x = r*cos(theta)$
$y = r*sin(theta)$

Thus:

$x = 2*cos((-pi)/3)=2*(1/2)=1$
$y = 2*sin((-pi)/3)=2*(-sqrt(3)/2)=-sqrt(3)$

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