IMSECH function

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

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

sech (a + bi) = \frac{2 \cosh (a) \cos (b) - 2 i \sinh (a) \sin (b)}{\cosh (2 a) + \cos (2 b)}

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

Esta función está dispoñíbel desde o LibreOfficeDev 3.6

Sintaxe

IMSIN (\ "Númerocomplexo")

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.

Exemplos

=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.

Información técnica

Esta función é parte da norma Formato Open Document para Aplicacións de Ofimática (OpenDocument), versión 1.2 (ISO/IEC 26300:2-2015)

IMSECH wiki page.

IMCSC, IMCSCH, IMSEC