Rewrite the Cartesian equation y = 6 x^2 as a polar equation.
r(theta) =
r*sin(θ) = 6*(r*cos(θ)2)
sin(θ) = 6*r*cos(θ)2
r = tan(θ)/(6*cos(θ)) or r = tan(θ)*sec(θ)/6
.