How do you convert #r sin^2 theta=3 cos theta# to rectangular form? Trigonometry The Polar System Converting Between Systems 1 Answer Bdub Apr 15, 2016 #y=+-sqrt(3x)# Explanation: #rsin^2 theta = 3cos theta# #rxxrsin^2 theta =rxx 3cos theta# #rsinthetaxxrsintheta=3xxrcostheta# Use formulas #x=rcos theta and y=rsin theta# #y xx y=3x# #y^2=3x# #y=+-sqrt(3x)# 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 2470 views around the world You can reuse this answer Creative Commons License