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

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

Codex  0 2026-10-25

Using Euler's formula, the difference of the two complex exponentials is

2 i sin (π /4) = i 2

. Hence

(i 2)^{4} = 4 i^{4} = 4, Re = 4, Im = 0.

These are the real part and imaginary part, respectively.

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