# Documentation/Calc Functions/IMSECH

TDF LibreOffice Document Liberation Project Community Blogs Weblate Nextcloud Redmine Ask LibreOffice Donate

## Function name:

IMSECH

## Category:

Add-in

## Summary:

Returns the hyperbolic secant of a complex number. The hyperbolic secant of a complex number can be expressed by:

## Syntax:

IMSECH(**Complex_number**)

## Returns:

The result is presented in the string format and has the character "i" or "j" as an imaginary unit.

The function always returns a string representing a complex number. If the result is a complex number with one of its parts (a or b) equal to zero, that part is not displayed.

## Arguments:

Complex_number is a complex number whose hyperbolic secant needs to be calculated.

A complex number is a string expression resulting in the form "a+bi" or "a+bj", where a and b are numbers. If the complex number is actually a real number (b=0), then it can be either a string expression or a number value.

## Additional details:

## Examples:

=IMSECH("4-3i") returns -0.0362534969158689+0.00516434460775318i.

=IMSECH(2) returns 0.26580222883408 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

## Related LibreOffice functions:

## ODF standard:

This function is part of the Open Document Format for Office Applications (OpenDocument) standard Version 1.2. (ISO/IEC 26300:2-2015)