# Documentation/Calc Functions/COSH

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## Function name:

COSH

## Category:

Mathematical

## Summary:

Returns the hyperbolic cosine of a number.

## Syntax:

COSH(**Number**)

## Returns:

Returns the hyperbolic cosine of the given **Number**. The resultant value is between +1 and ∞, i.e. [+1,∞).

## Arguments:

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

## Additional details:

The formula for the hyperbolic cosine is:

where N is the **Number**

The GIF below illustrates the function COSH.

## Examples:

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

=COSH(0) | hyperbolic cosine of 0 | 1 |

=COSH(1) | hyperbolic cosine of 1 | 1.54308063481524 |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

COSH