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IMCSCH Function

Excel 2013+

Summary

The Excel IMCSCH function calculates the hyperbolic cosecant of a complex number entered in standard x+yi or x+yj format. This advanced mathematical function is essential for engineering and scientific computations involving complex hyperbolic trigonometry.

Syntax

IMCSCH(inumber)

Parameters

Parameter Type Required Description
inumber Complex Number Yes A complex number (in x+yi or x+yj text format) for which you want the hyperbolic cosecant. Use the COMPLEX function to create complex numbers from real/imaginary parts.

Using the IMCSCH Function

IMCSCH is used in advanced mathematical modeling, electrical engineering, signal processing, and physics applications where hyperbolic functions of complex arguments are required. It returns a complex number representing the hyperbolic cosecant value.

Common IMCSCH Examples

Basic IMCSCH Calculation

=IMCSCH("4+3i")

Calculates the hyperbolic cosecant of the complex number 4+3i. Returns approximately -0.036275889628626-0.0051744731840194i

Using COMPLEX with IMCSCH

=IMCSCH(COMPLEX(4,3))

Creates complex number 4+3i using COMPLEX function and calculates its hyperbolic cosecant

Real Number Example

=IMCSCH("0.5+0i")

Calculates hyperbolic cosecant of purely real number 0.5 (equivalent to 1/SINH(0.5))

Frequently Asked Questions

Use x+yi or x+yj format where x is the real part and y is the imaginary part. For example: "4+3i" or "-2.5-1j".

Use the COMPLEX(real_num, i_num) function to convert separate real and imaginary parts into proper complex number format.

A complex number representing the hyperbolic cosecant of the input complex number.

Common Errors and Solutions

#NUM!

Cause: inumber is not in valid x+yi or x+yj format

Solution: Ensure proper complex number format or use COMPLEX function

#VALUE!

Cause: inumber is a logical value instead of a complex number

Solution: Provide a valid complex number in correct text format

#VALUE!

Cause: Invalid complex number format (wrong separators or notation)

Solution: Use quotes around complex numbers and proper + or - separators: "3+4i"

Notes

  • Hyperbolic cosecant = 1 / hyperbolic sine (CSCH(z) = 1/SINH(z))
  • Use COMPLEX function to build complex numbers from real/imaginary components
  • Supports both 'i' and 'j' as imaginary unit notation
  • Part of Excel's comprehensive complex number math library

Compatibility

Available in: Excel 2013, Excel 2016, Excel 2019, Excel 2021, Excel for Microsoft 365, Excel 2024

Not available in: Excel 2010, Excel 2007, Excel 2003, Earlier versions

Content last reviewed: December 9, 2025
Update frequency: As needed
Excel versions tested: Excel 2013+