Documentation/How Tos/Calc: IMCSCH function

CALC FUNCTIONS

Complex Number Functions

< Previous Section

Next Section >

FUNCTIONS

• Complex
• Imabs
• Imaginary
• Imargument
• Imconjugate
• Imcos
• Imcosh
• Imcsc
• Imcsch
• Imcot
• Imdiv
• Imexp
• Imln
• Imlog10
• Imlog2
• Impower
• Improduct
• Imreal
• Imsec
• Imsech
• Imsin
• Imsinh
• Imsqrt
• Imsub
• Imsum
• Imtan

< Previous Page

Next Page >

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.

---

See Also

• IMSECH

• Complex Number functions

• Functions listed alphabetically
• Functions listed by category