How do you convert ( 3x , -3y ) into polar coordinates? Precalculus Polar Coordinates Converting Coordinates from Polar to Rectangular 1 Answer Trevor Ryan. Nov 13, 2015 3sqrt(x^2+y^2)/_tan^(-1)(-y/x) Explanation: r=sqrt((3x)^2+(-3y)^2)=sqrt(9(x^2+y^2))=3sqrt(x^2+y^2) theta=tan^(-1)((-3y)/(3x))=tan^(-1)(-y/x) Therefore the polar co-ordinates are 3sqrt(x^2+y^2)/_tan^(-1)(-y/x) 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 3877 views around the world You can reuse this answer Creative Commons License