 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2008/paper-1/12/b/iii/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

Use the complex sine identity

sin (x + i y) = sin x cosh y + i cos x sinh y

, then multiply by

x + i y

x sin x cosh y - y cos x sinh y, x cos x sinh y + y sin x cosh y .

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