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Hyperbolic Tangent Calculator or tanh(x)

Written by:
PK

On this page is a hyperbolic tangent calculator, which works for an input of a hyperbolic angle. Enter the hyperbolic angle and choose the units and run the calculator to see the hyperbolic tangent.

Hyperbolic Tangent Calculator

Using the Hyperbolic Tangent Calculator

To use the tool to find the hyperbolic tangent, enter the measurement of a hyperbolic angle and run the tool.

  • Angle - measurement of the angle

Once you're happy with the inputs, click the "Compute Hyperbolic Tangent" button.

  • Hyperbolic Tangent - the result of the calculation

What is the hyperbolic tangent?

Hyperbolic tangent is the hyperbolic sine over the hyperbolic cosine, or:

\tanh(x)=\frac{\sinh(x)}{\cosh(x)}=\frac{e^{x}-e^{-x}}{e^{x}+e^{-x}}
The hyperbolic sine, cosine, and tangent on a graph
The hyperbolic sine, cosine, and tangent (Wikimedia)

Hyperbolic tangent as a formula

As a hyperbolic function, hyperbolic tangent is usually abbreviated as "tanh", as in the following equation:

\tanh(\theta)

If you already know the hyperbolic tangent, use the inverse hyperbolic tangent or arctanh to find the angle.

After, see the hyperbolic functions and inverse hyperbolic functions in two convenient tools.

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