## Hyperbolic Secant Calculator

This tool evaluates the hyperbolic secant of a number: sech(x). Enter the argument x below.

 x = Result: sech(x) =

## Definitions

### General

The hyperbolic secant function is defined as:

The graph of the hyperbolic secant function is shown in the figure below.

### Series

All hyperbolic functions can be defined in an infinite series form. Hyperbolic secant function can be written as:

The above series converges for . Endenotes the n-th Euler number .

### Properties

The derivative of the hyperbolic secant function is:

The integral of the hyperbolic secant is given by: