Question

Which of the following is an argument of one of the fifth roots of 32(cos80° + isin80°)?

72°
16°
5°
2°

Answer 1

16°

Explanation:

The arguments of the 5th root will be 80°/5 = 16° plus multiples of 360°/5 = 72°, so will be from the set {16°, 88°, 160°, 232°, 304°}.