Question

(b)

The Cartesian coordinates of a point are given.
(1, -5)
(i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 = 0 < 2.
(r, 0) =
(
(ii) Find polar coordinates (r, 0) of the point, where r < 0 and 0 < theta<2pi.
(r, 0) =

Answer 1

Explanation:

a) r = √(1² + (-5²)) = √26 = 5.09901...

θ = tan⁻¹(-5/1) = 4.9097... radians

(5.1, 4.9)

b) r = - 5.09901...

θ = 4.9097... - π = 1.76819...

(-5.1, 1.8)