Summary

The Excel IMCSCH function returns the hyperbolic cosecant of a complex number.

Purpose
Get hyperbolic cosecant of complex number
Return value
The hyperbolic cosecant of the complex number.
Syntax
=IMCSCH(complex_num)
  • complex_num - The complex number in the form "x+yi".
Microsoft docs
IMCSCH function documentation

Using the IMCSCH function

The Excel IMCSCH function returns the hyperbolic cosecant of a complex number. Given "1+1.5707963267949i" as input, the function returns "-1.72324E-15-0.648054274i" as output.

=IMCSC(COMPLEX(1, PI()/2)) // returns -1.72324E-15-0.648054274i

Explanation

The complex hyperbolic cosecant function is the reciprocal of the complex hyperbolic sine function.

Reciprocal definition of the complex hyperbolic cosecant function.

In Excel, the function's output is equivalent to the following formula.

=IMDIV(1,IMSINH(z)) // equivalent to IMCSCH(z)

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Dave Bruns

Hi - I'm Dave Bruns, and I run Exceljet with my wife, Lisa. Our goal is to help you work faster in Excel. We create short videos, and clear examples of formulas, functions, pivot tables, conditional formatting, and charts.