Question

Consider the polar curve r=tanθ, where −π/2<θ<π/2.

(a) List the polar coordinates of the points on the curve corresponding to the following values of θ: −π/3, −π/4, −π/6, 0, π/6, π/4, π/3.

(b) Find limθ→−π/2+r(θ) and limθ→π/2−r(θ).

(c) Use the points above to sketch the graph of the curve.