The Cartesian coordinates of a point are given.
(a)
(6, -6)
(i) Find polar coordinates (r, θ) of the point,
where
r > 0 and 0 ≤ θ < 2π.
(r, θ) =
(ii) Find polar coordinates (r, θ) of the point,
where
r < 0 and 0 ≤ θ < 2π.
(r, θ) =
(b) (-1, 3)
(i) Find polar coordinates (r, θ) of the point,
where
r > 0 and 0 ≤ θ < 2π.
(r, θ) =
(ii) Find polar coordinates (r, θ) of the point,
where
r < 0 and 0 ≤ θ < 2π.
(r, θ) =