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# IMSEC function

Returns the secant of a complex number.

The secant of a complex number can be expressed by:

sec ( a + bi ) = 2 cos ( a ) cosh ( b ) + 2 i sin ( a ) sinh ( b ) cosh ( 2 b ) + cos ( 2 a ) func sec(a+bi)={2cos(a)cosh(b)+2i`sin(a)sinh(b)} over {cosh(2b)+cos(2a)}

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

IMSEC(Complex_number)

Complex_number is a complex number whose 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.

### Primjeri

=IMSEC("4-3i")
returns -0.0652940278579471+0.0752249603027732i.

=IMSEC(2)
returns -2.40299796172238 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

IMSEC wiki page.

IMCSC, IMCSCH, IMSECH

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