MathLiveHyperbolic cosine definition
The hyperbolic cosine equals the average of e^x and e^(-x), giving a smooth even function that describes shapes such as a hanging cable. It is used in calculus, complex analysis and physics wherever hyperbolic functions appear.
\cosh x = \frac{e^x + e^{-x}}{2}What the symbols mean
| real or complex input (dimensionless) | |
| Euler's number, the base of the natural logarithm |
About this formula
- FieldMathematics
- TopicHyperbolic functions
- LevelUniversity
- Also calledcosh x formula, hyperbolic cosine formula, cosh definition, cosh exponential form, hyperbolic cosine in terms of exponentials, hyperbolic identity cosh
- SourceWikidata Q1253682
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