Documentation/Calc Functions/IMCSCH

Function name:
IMCSCH

Category:
Add-in

Summary:
Calculates the hyperbolic cosecant of a complex number. The hyperbolic cosecant is the reciprocal of the hyperbolic sine.

Syntax:
IMCSCH(ComplexNumber)

Returns:
Returns a text string giving the complex number that is the hyperbolic cosecant of the complex number passed as argument.

Arguments:
ComplexNumber is a string (in quotation marks) representing a complex number in the form a+bi or a+bj, or a reference to a cell containing that string, whose hyperbolic cosecant is to be determined. a and b are real numbers.


 * If ComplexNumber does not have an imaginary part (b equal to 0), the real part can be passed to IMCSCH as a number rather than a string.
 * If ComplexNumber is not a valid complex number, IMCSCH reports an invalid argument error (Err:502).

Details specific to IMCSCH function
For a complex number of the form a+bi, IMCSCH implements the following equation: However, IMCSCH determines if b=0 and in this case simply returns 1/sinh(a).

Related LibreOffice functions:
IMCOSH

IMSECH

IMSINH

ODF standard:
Section 6.8.11, part 2

Equivalent Excel functions:
IMCSCH