Question

(1, −3)

(i) Find polar coordinates (r, θ) of the point, where
r > 0 and 0 ≤ θ < 2π.

(ii) Find polar coordinates (r, θ) of the point, where
r < 0 and 0 ≤ θ < 2π.

Answer 1

\[r=\sqrt{x^2+y^2} \\ \theta=\arctan(\frac{y}{x})\]

Answer 2

\[r=\sqrt{10}\]
\[\theta=\arctan(-3)\] Would that be right?