Answer:r=3sinθ/4cos^2 θ.
Explanation:
To convert to polar coordinates, we use the relationships
xy=rcosθ=rsinθ.
Substituting these into the given equation, we find
3y3rsinθ3rsinθ=4x2=4(rcosθ)2=4r2cos2θ
Divide each side of the equation by the common factor r to get