Problem 1 :
The principal argument of 3/(-1 + i) is
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Problem 2 :
The principal argument of (sin 40º + i cos 40º)5 is
(1) -110º (2) -70º (3) 70º (4) 110º
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
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)
Problem 5 :
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1) -3𝜋/4, option (3)
2) θ = -110º, option (1)
3) x2 + y2 , option (3)
option (3) is correct.
4) (A, B) = (1, 1), option (4)
5) 𝜋/2, option (4)
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM