# ACOSH

The `ACOSH` function returns the inverse hyperbolic cosine of a number. In other words, it calculates the value whose hyperbolic cosine is the specified number. This function is useful for solving mathematical problems involving hyperbolic functions.

## Usage

Use the `ACOSH` formula with the syntax shown below, it has 1 required parameter:

Parameters:
1. value (required):
The numeric value for which to calculate the inverse hyperbolic cosine. Must be greater than or equal to 1.

## Examples

Here are a few example use cases that explain how to use the `ACOSH` formula in Google Sheets.

### Calculate the inverse hyperbolic cosine of a number

The `ACOSH` function can be used to calculate the inverse hyperbolic cosine of a given number. For example, you might use this function to solve a mathematical problem involving hyperbolic functions.

### Convert hyperbolic cosine to inverse hyperbolic cosine

You can use the `ACOSH` function to convert a hyperbolic cosine value to its inverse hyperbolic cosine equivalent. This is useful for solving mathematical problems that involve both types of functions.

### Calculate the area of a hyperbolic sector

The `ACOSH` function can be used to calculate the area of a hyperbolic sector based on its radius and angle. This is useful for solving geometric problems involving hyperbolic functions.

## Common Mistakes

`ACOSH` not working? Here are some common mistakes people make when using the `ACOSH` Google Sheets Formula:

### Incorrect argument type

The ACOSH formula requires a numeric value as its argument. If a non-numeric value is used, the formula will return an error. Double check that your argument is a number.

### Negative argument

The ACOSH formula can only be used with positive values. If a negative value is used, the formula will return an error. Double check that your argument is positive.

### Misspelling of ACOSH

Make sure the formula is spelled correctly as ACOSH. Spelling it incorrectly will result in an error.

The following functions are similar to `ACOSH` or are often used with it in a formula:

• `COSH`

The `COSH` function returns the hyperbolic cosine of a given value. The hyperbolic cosine is defined as (ex + e-x) / 2, where x is the given value. This function is most commonly used in mathematical calculations and modeling.

• `SINH`

The `SINH` function returns the hyperbolic sine of any real number. The hyperbolic sine is a mathematical function that describes the shape of a hanging cable supported at its ends and acted upon by a uniform gravitational force. In Google Sheets, it is most commonly used in mathematical and statistical formulas.

• `TANH`

The `TANH` function returns the hyperbolic tangent of a value. It is commonly used in mathematical modeling, such as in statistics, physics, and engineering.

• `ATANH`

The `ATANH` function returns the inverse hyperbolic tangent of a value. It is commonly used in mathematical calculations involving hyperbolic functions.

• `ASINH`

The `ASINH` function returns the inverse hyperbolic sine of a number. It is a mathematical function that can be used in a variety of applications such as calculating the surface area of a hyperbolic paraboloid. The result of the function is in radians.

You can learn more about the `ACOSH` Google Sheets function on Google Support.