How do you find the rectangular coordinate of (-4, pi/3)? Precalculus Polar Coordinates Converting Coordinates from Polar to Rectangular 1 Answer BeeFree Nov 11, 2015 pi/3 is in quadrant I. However, the negative value for the magnitude places the coordinate into quadrant III Explanation: x = -4cos(pi/3)=-4(1/2)=-2 y=-4sin(pi/3)=-4(sqrt3/2)=-2sqrt3 rectangular coordinate =(-2,-2sqrt3) hope that helped 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 (4,-pi/3) 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)? See all questions in Converting Coordinates from Polar to Rectangular Impact of this question 6833 views around the world You can reuse this answer Creative Commons License