# ACOSH

The ACOSH function is used to calculate the inverse hyperbolic cosine of a number. It is commonly used in mathematical and statistical calculations to find the hyperbolic arc cosine of a given value.

**Example explanation**

Cells [B2:B4] use the ACOSH function to calculate the inverse hyperbolic cosine of the numbers in cells [A2:A4].

## Syntax ðŸ”—

=ACOSH(`number`

)

`number` | The real number for which to calculate the inverse hyperbolic cosine. |

## About ACOSH ðŸ”—

When delving into the realm of trigonometric and hyperbolic functions, the ACOSH function in Excel emerges as a reliable tool for calculating the inverse hyperbolic cosine. It aids in the computation of the hyperbolic arc cosine of a given numerical value, providing a valuable asset for various mathematical and statistical analyses. Understanding the behavior of the hyperbolic cosine function is essential for a precise understanding of ACOSH's application in Excel. It stands as an invaluable resource for those delving into complex mathematical models and statistical computations, delivering accurate results with ease.

## Examples ðŸ”—

Suppose you need to find the inverse hyperbolic cosine of the number 10. The ACOSH formula would be: =ACOSH(10). This will return the inverse hyperbolic cosine of 10.

## Notes ðŸ”—

The ACOSH function returns the #NUM! error if the argument is less than 1. Ensure that the provided argument is a real number greater than or equal to 1 to obtain valid results. It is essential to verify that the input values align with the mathematical principles governing the inverse hyperbolic cosine.

## Questions ðŸ”—

**What is the domain and range of the ACOSH function?**

The domain of the ACOSH function is real numbers greater than or equal to 1, and its range includes all real numbers. It returns valid results when the input is within its defined domain.

**What error does the ACOSH function return for an argument less than 1?**

The ACOSH function returns the #NUM! error if the argument is less than 1. It is designed to work exclusively with real numbers greater than or equal to 1.