From Latin cosinus hyperbolicus ("hyperbolic cosine"), from Ancient Greek κόσμος (kosmos, “orderly, arranged”) + sinh or cosh, from sinus ("sine").
Meaning and Origin
The hyperbolic cosine function (abbreviated cosh) is a mathematical function related to the hyperbolic functions.
It is defined as:
cosh(x) = (e^x + e^-x) / 2
where e is the base of the natural logarithm (approximately 2.718).
The graph of the cosh function is a symmetric, bell-shaped curve that resembles the cosine function, but is shifted to the right and has a wider shape.
Like the cosine function, the cosh function has a period of 2π and an amplitude of 1, but it is not periodic.
The cosh function finds applications in various fields, such as physics, engineering, and finance.
