On this page is an *inverse hyperbolic cotangent calculator* (or *acoth calculator*), which calculates an angle from the result of the hyperbolic cotangent function.

## Inverse Hyperbolic Cotangent Calculator

**Table of Contents**show ▼

## Using the Inverse Hyperbolic Cotangent Calculator

To use the tool to find the angle from a hyperbolic cotangent, enter the ratio and compute.

**Hyperbolic cotangent**- computed result

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

**Angle**- the angle you'd input if you wanted to get the hyperbolic cotangent you entered

## What is the acoth or inverse hyperbolic cotangent?

Inverse hyperbolic cotangent is the inverse of the hyperbolic cotangent, which is the hyperbolic cosine over the hyperbolic sine. It can also be written using the natural logarithm:

arctanh(x)=\frac{\ln(\frac{x+1}{x-1})}{2}

### Arccoth as a formula

Inverse hyperbolic cotangent is often written as arccoth, but usually abbreviated as "acoth" or "arcoth", as in the following equation:

arccoth(y) = acoth(y) = arcoth(y)

Where it is the inverse of hyperbolic cotangent, or:

x=arccoth(y)\\y=coth(x)

*Next, see all inverse hyperbolic functions or hyperbolic functions in just two tools.*