tanh function - Wolfram|Alpha

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Input interpretation

Tanh (Wolfram Language symbol)

Usage

Tanh[z] gives the hyperbolic tangent of z.

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Background

Tanh is the hyperbolic tangent function, which is the hyperbolic analogue of the Tan circular function used throughout trigonometry. Tanh[α] is defined as the ratio of the corresponding hyperbolic sine and hyperbolic cosine functions via tanh(α) = sinh(α)/cosh(α). Tanh may also be defined as tanh(α) = (e^(2 α) - 1)/(e^(2 α) + 1), where e is the base of the natural logarithm Log.

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