Find the modulus and the arguments of each of the complex numbers
(i) –3     (ii)         (iii) i

(ii)      
x + iy =+ i
x = , y = 1
r =
and tan θ = y/x =, θ = π /6.
Thus, the polar coordinates of + i are (2, π /6) and its polar form is 2(cos + i sin).   

(iii) i
x + iy = i
x = 0, y = 1
r =
and tan θ = y/x = ∞ , θ = .
Thus, the polar coordinates of –1+ i are (1, ) and its polar form is (cos+ i sin).