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Hyperbolic Cotangent Calculator or coth(x)

Written by:
PK

On this page is a hyperbolic cotangent 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 cotangent.

Hyperbolic Cotangent Calculator

Using the Hyperbolic Cotangent Calculator

To use the tool to find the hyperbolic cotangent, 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 Cotangent" button.

  • Hyperbolic Cotangent - the result of the calculation
The hyperbolic secant, cosecant, and cotangent on a graph
The hyperbolic secant, cosecant, and cotangent (Wikimedia)

What is the hyperbolic cotangent?

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

\coth(x)=\frac{\cosh(x)}{\sinh(x)}=\frac{e^{x}+e^{-x}}{e^{x}-e^{-x}}

Hyperbolic cotangent as a formula

As a hyperbolic function, hyperbolic cotangent is usually abbreviated as "coth", as in the following equation:

\coth(\theta)

If you already know the hyperbolic cotangent, use the inverse hyperbolic cotangent or arccoth to find the angle.

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

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