Sisällys

# IMCSC function

Returns the cosecant of a complex number.

The cosecant of a complex number can be expressed by:

csc ( a + bi ) = 2 sin ( a ) cosh ( b ) − 2 i cos ( a ) sinh ( b ) cosh ( 2 b ) − cos ( 2 a ) func csc(a+bi)={2sin(a)cosh(b)-2i`cos(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.

Tämä funktio on käytettävissä LibreOffice 3.6:sta alkaen.

### Syntax

IMCSC(Complex_number)

Complex_number is a complex number whose 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

=IMCSC("4-3i")
returns -0.0754898329158637-0.0648774713706355i.

=IMCSC(2)
returns 1.09975017029462 as a string. The imaginary part is equal to zero, so it is not displayed in the result.

#### Teknistä tietoa

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

Aiheeseen liittyvää

IMCSC wiki page.

IMCSCH, IMSEC, IMSECH

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