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ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2021-resit/2/ii/solution

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Past exam of the mathematical methods I course of the University of Oxford / 2021 resit / 2 / ii / Solution by

Codex  0 2026-10-25

The polar form is

1 + i 3 = 2 e^{iπ /3}

. By De Moivre's theorem,

(1 + i 3)^{3} = 8 e^{iπ} = - 8.

Therefore the real part and imaginary part are

Re = - 8, Im = 0.

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