IMCSCH Function in Excel: Hyperbolic Cosecant of a Complex Number

IMCSCH Function in Excel: Hyperbolic Cosecant of a Complex Number 1
⏱ 1 min readUpdated 5 October 2026

Complex numbersLevel: ExpertAvailable in: Excel 2013+

In this article
  1. Syntax
  2. Examples
  3. Example 1
  4. IMCSCH in practice
  5. Where you will use it
  6. Worked example
  7. Mistakes people make
  8. Related functions

IMCSCH returns 1/sinh(z). Complex numbers are text like 3+4i; build them with COMPLEX.

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Syntax

=IMCSCH(inumber)
Argument What it means
inumber Complex number as text, e.g. “3+4i”

Examples

Example 1

=IMCSCH(A2)

Result: -0.0648774713706355+0.0754898329158637i. See the worked example table below for more cases.

IMCSCH in practice

Where you will use it

  • AC circuit calculations (impedance, phase)
  • Signal processing
  • Engineering coursework

Worked example

zFormulaResult
3+4i=IMCSCH(A2)-0.0648774713706355+0.0754898329158637i
1-i=IMCSCH(A3)0.303931001628426+0.621518017170429i
2i=IMCSCH(A4)-1.09975017029462i

Results calculated in Excel.

Mistakes people make

MistakeWhat to do instead
Spaces inside the text"3 + 4i" gives #NUM!; write 3+4i
Result is textUse IMREAL/IMAGINARY to get numbers back

COMPLEX · IMABS · IMREAL

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Excel Functions A–ZAMORDEGRC Function in Excel: French Degressive DepreciationExcel Functions A–ZIMPRODUCT Function in Excel: Multiply Complex NumbersExcel Functions A–ZPRODUCT Function in Excel: Multiply Many Numbers
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