Hyperbolic cosine

Writing functions:

cosh(x)

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The hyperbolic cosine (cosh(x)) is a mathematical function that is defined as follows: cosh(x) = (e^x + e^(-x))/2. The hyperbolic cosine differs from the ordinary cosine in that it has a hyperbolic shape and a wide range of applications.

One of the applications of the hyperbolic cosine is the solution of differential equations in physics, engineering and other fields of science. It is also used in the study of thermal conductivity, electromagnetism, wave optics and many other disciplines.

The hyperbolic cosine also plays an important role in probability theory and statistics. It is used for approximating complex multidimensional distributions, as well as for modeling random processes.

In general, the hyperbolic cosine is a powerful mathematical analysis tool that finds application in various scientific and technical fields. His ability to describe complex phenomena and solve complex problems makes him an indispensable element of modern mathematics.