How do you graph #r= 5 sin theta#? Trigonometry The Polar System Graphing Basic Polar Equations 1 Answer Shwetank Mauria Oct 20, 2016 #x^2+y^2-5y=0# Explanation: The relation between polar coordinates #(r,theta)# and rectangular Cartesian coordinates #(x,y)# are given by #x=rcostheta# and #y=rsintheta# or #r^2=x^2+y^2# Hence #r=5sintheta# can be written as #r^2=5rsintheta# or #x^2+y^2=5y# or #x^2+y^2-5y=0# 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 9741 views around the world You can reuse this answer Creative Commons License