COSH function

Overview

COSH is a function of the Math and Trigonometry category that calculates the hyperbolic cosine of a number.

Usage

Syntax

COSH(number) => cosh

Argument descriptions

• number (number, required). The hyperbolic angle whose hyperbolic cosine is to be calculated, expressed in radians.

Additional guidance

The formula for the hyperbolic cosine is:

$$\text{cosh(x)}={\displaystyle \frac{e^x+e^{-x}}{2}}$$

Returned value

COSH returns a real number that is the hyperbolic cosine of the specified hyperbolic angle.

Error conditions

• In common with many other IronCalc functions, COSH propagates errors that are found in its argument.
• If no argument, or more than one argument, is supplied, then COSH returns the #ERROR! error.
• If the value of the number argument is not (or cannot be converted to) a number, then COSH returns the #VALUE! error.
• For some argument values, COSH may return a #DIV/0! error.
• For more information about the different types of errors that you may encounter when using IronCalc functions, visit our Error Types page.

Details

• The COSH function utilizes the cosh() method provided by the Rust Standard Library.
• The figure below illustrates the COSH function.

Examples

See some examples in IronCalc.

Links

• For more information about hyperbolic functions, visit Wikipedia's Hyperbolic functions page.
• See also IronCalc's SINH, COS and TAN functions.
• Visit Microsoft Excel's COSH function page.
• Both Google Sheets and LibreOffice Calc provide versions of the COSH function.