How do you convert #x^ 2 + y ^2 + 3y = 0# to polar form? Trigonometry The Polar System Converting Between Systems 1 Answer bp Aug 1, 2016 r= -3sin#theta# Explanation: Write x= rcos#theta# and y= r sin #theta# to have, #r^2 cos^2 theta +r^2 sin^2 theta +3r sin theta#=0 #r^2 +3r sin theta#=0 #r+sin theta#=0 #r= -3sin theta# 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 5094 views around the world You can reuse this answer Creative Commons License