How do you convert #y^2=3xy-x^2# into polar form? Trigonometry The Polar System Converting Between Systems 1 Answer Shwetank Mauria Feb 20, 2016 Equation in polar form is #r^2(2-3sin2theta)=0#. Explanation: To convert #y^2=3xy−x^2# into polar form use #y=rsintheta# and #x=rcostheta#. Note #y^2+x^2=r^2# #y^2=3xy−x^2# is #y^2+x^2=3xy# and putting #x# and #y#, it becomes #r^2=3r^2sinthetacostheta# or #r^2(1-3sinthetacostheta)=0#. or #r^2(2-3sin2theta)=0#. Answer link Related questions How do you convert rectangular coordinates to polar coordinates? When is it easier to use the polar form of an equation or a rectangular form of an equation? How do you write #r = 4 \cos \theta # into rectangular form? What is the rectangular form of #r = 3 \csc \theta #? What is the polar form of # x^2 + y^2 = 2x#? How do you convert #r \sin^2 \theta =3 \cos \theta# into rectangular form? How do you convert from 300 degrees to radians? How do you convert the polar equation #10 sin(θ)# to the rectangular form? How do you convert the rectangular equation to polar form x=4? How do you find the cartesian graph of #r cos(θ) = 9#? See all questions in Converting Between Systems Impact of this question 2930 views around the world You can reuse this answer Creative Commons License