Documentation/How Tos/Calc: IMCSCH function

IMCSCH

Returns the hyperbolic cosecant of a complex number.

Syntax

IMCSCH( z )

where z is a complex number as described in Documentation/How_Tos/Calc:_Complex_Number_functions

Semantics

IMCSCH( z ) is equivalent to IMDIV(1;IMSINH( z )).

To get better accuracy it is not implemented that way. With the notation IMCOT("a+bj")="c+dj" the used formulas are

real part $c={\frac {2\sinh(2a)\,\cos(b)}{\cosh(2a)-\cos(2b)}}$

imaginary part $d={\frac {-2\cosh(2a)\,\sin(b)}{\cosh(2a)-\cos(2b)}}$

Issues

The function is not implemented in versions before AOO 4.0 and before LibO 3.7.

This function currently appears in the AddIn category of the Function Wizard.