How do you convert $(6, 210^{\circ})$ $(6,210^circ)$ from polar to cartesian coordinates?

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Answer 1 · 2017-12-17T18:15:31

$(- 3 \sqrt{3}, - 3)$ $(-3sqrt(3),-3)$

Using:

$x = r cos θ$ $x=rcostheta$

$y = r sin θ$ $y=rsintheta$

$x = 6 cos (210) = - 3 \sqrt{3}$ $x=6cos(210)=-3sqrt(3)$

$y = 6 sin (210) = - 3$ $y=6sin(210)=-3$

Cartesian coordinates:

$(- 3 \sqrt{3}, - 3)$ $(-3sqrt(3),-3)$

How do you convert (6,210∘)(6,210^circ) from polar to cartesian coordinates?