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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:

=ACOSH(value)
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.

Related Formulas

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.

Learn More

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