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) = (6√2, 3π/4)
(ii) Find polar coordinates (r, Θ) of the point, where r < 0 and 0 ≤ Θ < 2π.
(r, Θ) =
(b) (5, 5√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) =