How do you graph the polar equation #r=3+3costheta#? Trigonometry The Polar System Graphing Basic Polar Equations 1 Answer 1s2s2p Mar 22, 2018 #(x^2+y^2-3x)^2=9x^2+9y^2# Explanation: Multiply each term by #r# to get: #r^2=3r+3rcostheta# #r=sqrt(x^2+y^2)# #rcostheta=x# #x^2+y^2=3sqrt(x^2+y^2)+3x# #(x^2+y^2-3x)^2=9x^2+9y^2# Answer link Related questions What are limacons and cardioids? How do you graph basic polar equations? How do you determine the shape of a limaçon from the polar equation? How do you graph #r = 1.5#? How do you graph #\theta = 30^\circ#? What does the graph of #r = \cos \theta# such that #0^\circ \le \theta \le 360^\circ# look like? What is the general form of limacons and cardioids and how do you graph transformations? How do you graph the equation #r = 1 + cos( theta )#? How do you graph #r=3-2costheta#? How do you graph #r=1-cosx#? See all questions in Graphing Basic Polar Equations Impact of this question 1325 views around the world You can reuse this answer Creative Commons License