# IMSECH

The IMSECH function is used to calculate the hyperbolic secant of a complex number in Excel. This function is handy for performing calculations involving complex numbers in trigonometry, engineering, and other mathematical applications.

## Syntax

=IMSECH(`complex_number`

)

`complex_number` | The complex number for which you want to calculate the hyperbolic secant. |

## About IMSECH

When you encounter complex numbers that require evaluation of hyperbolic trigonometric functions, turn to IMSECH in Excel. IMSECH excels in computing the hyperbolic secant of complex numbers, providing a valuable tool for handling intricate mathematical operations in various disciplines ranging from engineering to physics and beyond. By employing IMSECH, you can efficiently determine the hyperbolic secant of a given complex number, facilitating precise calculations in scenarios necessitating complex number analysis.

## Examples

Suppose you have a complex number 3 + 4i for which you want to calculate the hyperbolic secant. The IMSECH formula would be: =IMSECH(3+4i)

If you have a different complex number, let's say 2 - i, and want to find its hyperbolic secant, you can use: =IMSECH(2-i)

## Questions

**What is the range of valid input for the complex number in the IMSECH function?**

The complex number in the IMSECH function can be any complex number for which the hyperbolic secant function is defined. Ensure the input is in the correct format with the imaginary unit 'i'.

**Can the IMSECH function handle purely real numbers?**

While the IMSECH function is designed for complex numbers, it can still handle purely real numbers by setting the imaginary part to zero. For example, IMSECH(5) will yield the hyperbolic secant of the real number 5.

**Is the output of the IMSECH function always a complex number?**

No, the output of the IMSECH function can be a real number or a complex number depending on the input provided. In cases where the input results in a purely real output, the IMSECH function will return a real number.

## Related functions

IMCSC

IMSEC

IMSINH

IMCOTH

IMTANH

IMSIN

IMCOS

IMCOSH