# Documentation/Calc Functions/CSCH

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## Function name:

CSCH

## Category:

Mathematical

## Summary:

Returns the hyperbolic cosecant of a number.

## Syntax:

CSCH(**Number**)

## Returns:

Returns the hyperbolic cosecant of **Number**. The resultant value is between -∞ and +∞, i.e. (-∞,+∞).

## Arguments:

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

If **Number** is 0, the csch value is undefined, hence the function returns a numeric error(#NUM!) value.

## Additional details:

The hyperbolic cosecant value of a **Number** is equal to the inverse of its hyperbolic sine.

The formula for the CSCH function is:

Where N is the **Number**.

The figure below illustrates the function CSCH.

## Examples:

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

=CSCH(1) | hyperbolic cosecant of 1 | 0.8509181282 |

=CSCH(0) | hyperbolic cosecant of 0 returns numeric error value | #NUM! |

## Related LibreOffice functions:

## ODF standard:

## Equivalent Excel functions:

CSCH