Question #a72c7 Calculus Polar Curves Introduction to Polar Coordinates 1 Answer sente Sep 11, 2016 #r^2cos(2theta) = 9# Explanation: As there is no #z# component, converting into cylindrical coordinates in this case is equivalent to converting to polar coordinates, which we can do using the identities #{(x = rcos(theta)), (y = rsin(theta)):}# Substituting these in: #x^2 - y^2 = 9# #=> (rcos(theta))^2-(rsin(theta))^2=9# #=> r^2(cos^2(theta)-sin^2(theta))=9# #:. r^2cos(2theta) = 9# Answer link Related questions How do you find the polar coordinates of #(-4,0)# ? How do you find the polar coordinates of the point #(-2,0)# ? Find the polar coordinates of the point with rectangular coordinates #(0,1)# ? How do you find the polar coordinates of the point with rectangular coordinates #(-2,2# )? How do polar coordinates work? How do you change polar coordinates to rectangular coordinates? What are polar coordinates used for in real life? How do you change rectangular coordinates to polar coordinates? How do you find the rectangular coordinates of the point with polar coordinates #(2,pi/4)#? How do you find the rectangular coordinates of the point with polar coordinates #(-1,pi/3)#? See all questions in Introduction to Polar Coordinates Impact of this question 1205 views around the world You can reuse this answer Creative Commons License