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)#