FINDING MODULUS AND ARGUMENT OF A COMPLEX NUMBER WORKSHEET

Problem 1 :

The principal argument of 3/(-1 + i) is

Solution

Problem 2 :

The principal argument of (sin 40^º + i cos 40^º)⁵ is

(1)  -110^º    (2)   -70^º   (3)   70^º   (4)   110^º

Solution

Problem 3 :

If (1 + i) (1 + 2i) (1 + 3i) … (1 + ni) = x + iy, then 2 ⋅ 5 ⋅ 10 … (1 + n²) is

(1)1   (2)   i   (3)   x² + y²    (4)   1 + n²

Solution

Problem 4 :

If ω ≠ 1 is a cubic root of unity (1 + ω)⁷ = A + Bω, then (A, B) equals

(1)   (1, 0)   (2)   (-1, 1)  (3)   (0,1)   (4)   (1, 1)

Solution

Problem 5 :

Solution