How do I convert polar coordinates #(4,-pi/3)# to rectangular coordinates? Precalculus Polar Coordinates Converting Coordinates from Polar to Rectangular 1 Answer AJ Speller Sep 30, 2014 #(r,theta)->(4,(-pi)/3)# Polar to Rectangular #x=rcos(theta)=4cos((-pi)/3)=4(1/2)=2# #y=rsin(theta)=4sin((-pi)/3)=4(-sqrt(3)/2)=-2sqrt(3)# #(r,theta)->(4,(-pi)/3)# #(x,y)->(2, -2sqrt(3))# Answer link Related questions What is the formula for converting polar coordinates to rectangular coordinates? How do I convert polar coordinates #(5, 30^circ)# to rectangular coordinates? How do I convert polar coordinates #(3.6, 56.31)# to rectangular coordinates? How do I convert polar coordinates #(10, -pi/4)# to rectangular coordinates? How do I convert polar coordinates #(6, 60^circ)# to rectangular coordinates? How do I convert polar coordinates #(-4, 230^circ)# to rectangular coordinates? What is the Cartesian equivalent of polar coordinates #(sqrt97, 66^circ)#? What is the Cartesian equivalent of polar coordinates #(2, pi/6)#? What is the Cartesian equivalent of polar coordinates #(7, pi)#? Are there more than one way to convert Polar to Rectangular coordinates? See all questions in Converting Coordinates from Polar to Rectangular Impact of this question 21232 views around the world You can reuse this answer Creative Commons License