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IMSECH Function

Excel 2013+

Summary

The Excel IMSECH function calculates the hyperbolic secant of a complex number, returning the result in standard complex number format (x+yi). This advanced mathematical function is essential for engineering calculations and complex analysis.

Syntax

IMSECH(inumber)

Parameters

Parameter	Type	Required	Description
inumber	`Complex`	Yes	A complex number (in x+yi or x+yj text format) for which you want the hyperbolic secant

Using the IMSECH Function

IMSECH is used in advanced mathematical and engineering applications requiring hyperbolic secant calculations for complex numbers. The function takes a single complex number input and returns its hyperbolic secant as a complex result.

Common IMSECH Examples

Basic IMSECH Calculation

=IMSECH("4+3i")

Calculates the hyperbolic secant of the complex number 4+3i, returning approximately -0.0362534969158689-0.00516434460775318i.

Frequently Asked Questions

IMSECH requires complex numbers in x+yi or x+yj text format.

Use the COMPLEX function to convert real and imaginary parts into the required format.

Common Errors and Solutions

#NUM! error

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

Solution: Ensure the complex number uses correct syntax and use COMPLEX function if needed

#VALUE! error

Cause: inumber is a logical value

Solution: Provide a valid complex number, not logical values

Notes

Use COMPLEX(real_num, i_num) to create complex number inputs
IMSECH is part of Excel's complex number function library
Results are returned in standard complex number format

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 9, 2025
Update frequency: As needed
Excel versions tested: Excel 2013+