How do I convert polar coordinates $(-4, 230^circ)$ to rectangular coordinates?

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Answer 1 · 2014-09-30T04:06:37

$(r,theta)->(-4,230)$

$230^circ$ has to be converted to radians.

Degrees to Radians

$230^circ*pi/180^circ=(230pi)/180=(23pi)/18$

Polar to Rectangular

$x=rcos(theta)=(-4)*cos((23pi)/18)=-4(-0.6428)=2.5712$

$y=rsin(theta)=(-4)*sin((23pi)/18)=-4(-0.7660)=3.0641$

$(r,theta)->(-4, 230)$
$(x,y)->(2.5712, 3.0641)$

How do I convert polar coordinates (-4, 230^circ)(-4, 230^circ) to rectangular coordinates?