Description

The IMCOSH function returns the hyperbolic cosine of a Complex Number in x + yi or x + yj text format.

Syntax

IMCOSH (inumber)

Argument	Description	Required/ Optional
Inumber	A complex number for which you want the hyperbolic cosine.	Required

Complex Numbers in Excel are simply stored as text in Excel.
When a text string in the format "a + bi" or "a + bj" is supplied to one of Excel's built-in Complex Number Functions, this is interpreted as a complex number.
The Complex Number functions can accept a simple numeric value, as this is equivalent to a complex number whose imaginary coefficient is equal to 0.
Use COMPLEX to convert real and imaginary coefficients into a complex number.
The hyperbolic cosine of a complex number is calculated by the following equation −

$$\cosh(x + yi) = \cosh(x) \cos(y) - \sinh(x) \sin(y)i$$
If inumber is not recognized as a complex number, IMCOS returns the #NUM! error.
If inumber is a logical value, IMCOS returns the #VALUE! Error.

Excel 2007, Excel 2010, Excel 2013, Excel 2016