IMCSCH function

Contents

# TIME

Returns the hyperbolic cosecant of a complex number.

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

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

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

IMCOS(Complex number)

Complex_number is a complex number whose hyperbolic cosecant 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.

### Examples

=IMCSCH("4-3i")
returns -0.036275889628626+0.0051744731840194i.

=IMCSCH(2)
returns 0.275720564771783 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)

Поврзани теми

IMCSCH wiki page.

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