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

## Inverse Hyperbolic Secant Calculator

**Table of Contents**show ▼

## Using the Inverse Hyperbolic Secant Calculator

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

**Hyperbolic secant**- 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 secant you entered

## What is the asech or inverse hyperbolic secant?

Inverse hyperbolic secant is the inverse of the hyperbolic secant, which is the reciprocal of the of the hyperbolic cosine. It can also be written using the natural logarithm:

arcsech(x)=\ln(\frac{1+\sqrt{1-x^2}}{x})

### Arcsech as a formula

Inverse hyperbolic cosecant is often written as arcsech, but usually abbreviated as "asech" or "arsech", as in the following equation:

arcsech(y) = asech(y) = arsech(y)

Where it is the inverse of hyperbolic secant, or:

x=arcsech(y)\\y=sech(x)

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