How do you change the polar coordinate $(-6, pi)$ into rectangular coordinates?

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Answer 1 · 2017-06-11T15:15:31

$(x,y)=(6,0)$

$r=-6$
$theta=pi$

The formula for translating polar coordinates to rectangular coordinates is

$x=rcos(theta)$

$y=rsin(theta)$

Plug the $r$ and $theta$ terms into the formulas above

$x=-6cos(pi)=6$
$y=-6sin(pi)=0$

So, $(x,y)=(6,0)$

How do you change the polar coordinate (-6, pi)(-6, pi) into rectangular coordinates?