Hyperbolic Tangent Calculator

Explore the hyperbolic tangent function with our interactive calculator. Enter a value and visualize the result instantly.

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Hyperbolic Tangent (tanh):

tanh(x) Visualization

About Hyperbolic Tangent (tanh)

The hyperbolic tangent, denoted as tanh(x), is a hyperbolic function defined as the ratio of the hyperbolic sine (sinh(x)) to the hyperbolic cosine (cosh(x)).

Formula: tanh(x) = sinh(x) / cosh(x) = (e^x - e^-x) / (e^x + e^-x)

It is analogous to the trigonometric tangent function but uses hyperbolas instead of circles. The value of tanh(x) always lies between -1 and 1. It is used in various fields like physics, machine learning, and engineering.

Sources: Wikipedia, MathWorld