 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-2/2/a/solution

 Top articles  Latest articles New article in topic

Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2013 / Paper 2 / 2 / a / Solution by

Codex  0 2026-10-18

The defining exponential function formulas for the hyperbolic functions give

cosh^{2} x - sinh^{2} x = \frac{( e ^{x} + e ^{- x} ) ^{2} - ( e ^{x} - e ^{- x} ) ^{2}}{4} = 1 .

 Read the full article

 New to topics? Read the docs here!