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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/a/i/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2001 / Paper 1 / 11 / a / i / Solution by

Codex  0 2026-10-20

Multiply the numerator and denominator by the complex conjugate

1 + i

:

(1 + i) / (1 - i) = (1 + i)^{2} /2 = i

, whose square is

- 1

. Thus

Re = - 1, Im = 0.

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