# IMCOSH function

This article describes the formula syntax and usage of the IMCOSH function in Microsoft Excel.

## Description

Returns the hyperbolic cosine of a complex number in x+yi or x+yj text format.

## Syntax

IMCOSH(inumber)

The IMCOSH function syntax has the following arguments.

• Inumber    Required. A complex number for which you want the hyperbolic cosine.

## Remarks

• Use COMPLEX to convert real and imaginary coefficients into a complex number.

• If inumber is a value that is not in the x+yi or x+yj text format, IMCOSH returns the #NUM! error value.

• If inumber is a logical value, IMCOSH returns the #VALUE! error value.

## Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Formula

Description

Result

=IMCOSH("4+3i")

Returns the hyperbolic cosine of a complex number, 4+3i.

-27.0349456030742+3.85115333481178i

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