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Hyperbolic tangent

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The hyperbolic tangent, denoted as tanh, is a trigonometric function used in mathematics and physics. It is defined as the ratio of the sine to the cosine of an angle, which makes it analogous to the usual tangent for hyperbolic angles.

The hyperbolic tangent is widely used in solving equations and problems related to dynamical systems, electrical engineering, control theory and other fields. It is also used in the approximation of various nonlinear functions and in data analysis.

In general, the hyperbolic tangent is an important tool for mathematicians, physicists and engineers, allowing them to solve complex problems and perform accurate calculations.