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# IMSECH function

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

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

This function is available since LibreOffice 3.6.

### Syntax

IMSECH(Complex_number)

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.

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.

### مثال:

=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.

#### Technical information

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

Related Topics

IMSECH wiki page.

IMCSC, IMCSCH, IMSEC

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