Find a polar equation for the curve represented by the given Cartesian equation.

Question

Assume  0 ≤ 𝜃 < 2𝜋

y = [(√3)x]/3

Answer 1

y = rsinθ; x = rcosθ; rsinθ = √3/3(rsinθ). Reducing by r, we get sinθ = √3/3cosθ; tanθ = √3/3

θ = π/6 or θ = 7π/6