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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/2004/paper-1/9/b/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 / 2004 / Paper 1 / 9 / b / Solution by

Codex  0 2026-10-20

The hyperbolic cosine and hyperbolic sine are defined by

cosh x = (e^{x} + e^{- x}) /2, sinh x = (e^{x} - e^{- x}) /2

. Their quotient is

tanh x = sinh x / cosh x

.

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