 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2001/paper-1/11/b/i/solution

2 πk /3

. The three roots of unity are

1, \frac{- 1 + i 3}{2}, \frac{- 1 - i 3}{2} .

They are equally spaced on the unit circle.

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