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CSCH Function

Excel 2013+

Summary

The Excel CSCH function calculates the hyperbolic cosecant of an angle given in radians. This mathematical function is essential for advanced engineering and scientific calculations involving hyperbolic trigonometry.

Syntax

CSCH(number)

Parameters

Parameter	Type	Required	Description
number	`Number`	Yes	Numeric value representing the angle in radians (absolute value must be less than 2^27)

Using the CSCH Function

Use CSCH when working with hyperbolic trigonometric calculations in Excel. The hyperbolic cosecant is the reciprocal of the hyperbolic sine function, commonly used in physics, engineering, and advanced mathematics.

Common CSCH Examples

Basic CSCH Calculation

=CSCH(1.5)

Returns the hyperbolic cosecant of 1.5 radians, which equals approximately 0.4696.

Frequently Asked Questions

The absolute value of the number must be less than 2^27. Values outside this range return #NUM! error.

CSCH returns #VALUE! error if the input is not a valid number.

Common Errors and Solutions

#NUM!

Cause: Input number's absolute value is 2^27 or greater

Solution: Use a number where |number| < 2^27

#VALUE!

Cause: Non-numeric input provided

Solution: Ensure the input is a valid number

Notes

CSCH(x) = 1/SINH(x)
Input must be in radians, not degrees
Function introduced in Excel 2013

Compatibility

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

Not available in: Excel 2010 and earlier versions

Content last reviewed: December 11, 2025
Update frequency: As needed
Excel versions tested: Excel 2013+