How do you graph the polar equation r^2=9sin2theta? Trigonometry The Polar System Graphing Basic Polar Equations 1 Answer Salvatore I. Nov 8, 2016 (x^2+y^2)^2-18xy=0 Explanation: x=rhocostheta from which costheta=x/rho y=rhosintheta from which sintheta=y/rho rho=root2(x^2+y^2) rho^2=x^2+y^2 rho^2=18sinthetacostheta= rho^2=18(xy)/rho^2 rho^4=18xy (x^2+y^2)^2=18xy 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 5695 views around the world You can reuse this answer Creative Commons License