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

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Answer 1 · 2017-06-11T15:15:31

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

$r = - 6$ $r=-6$
$θ = π$ $theta=pi$

The formula for translating polar coordinates to rectangular coordinates is

$x = r cos (θ)$ $x=rcos(theta)$

$y = r sin (θ)$ $y=rsin(theta)$

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

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

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

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