# Documentation/Calc Functions/SECH

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## Function name:

SECH

## Category:

Mathematical

## Summary:

Returns the hyperbolic secant of a number.

## Syntax:

SECH(**Number**)

## Returns:

Returns the hyperbolic secant of **Number**. The resultant value is between 0 and 1(included), i.e. (0,1].

## Arguments:

Number is the real number, or a reference to a cell containing that number, whose hyperbolic secant value is to be calculated.

## Additional details:

The hyperbolic secant value of a Number is equal to the inverse of its hyperbolic cosine.

The formula for the SECH function is:

Where N is the Number.

The figure below illustrates the function SECH.

## Examples:

Formula | Description | Returns |
---|---|---|

=SECH(1) | hyperbolic secant of 1 | 0.648054273663885 |

=SECH(0) | hyperbolic secant of 0 | 1 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

SECH