The ACOSH function in Google Sheets is designed to compute the inverse hyperbolic cosine of a given number. This mathematical function is often used in various scientific and engineering applications where hyperbolic functions play a crucial role. Understanding how to effectively utilize ACOSH can enhance calculations and data analysis within spreadsheets.

Syntax

ACOSH(value)

• value: The number for which you want to calculate the inverse hyperbolic cosine. This must be a real number greater than or equal to 1.

Example #1

=ACOSH(1)

This function calculates the inverse hyperbolic cosine of 1, which equals 0, since cosh(0) = 1. The result is: 0.000.

Example #2

=ACOSH(2)

This calculation finds the inverse hyperbolic cosine of 2. The result is approximately 1.31695789692482, as it corresponds to the value of x for which cosh(x) equals 2.

Example #3

=ACOSH(10)

Using this function, you will receive the inverse hyperbolic cosine of 10, which is approximately 2.993. This means that cosh(2.993) is equal to 10.

Error handling

• NUM! : This error occurs if the input value is less than 1, as the inverse hyperbolic cosine is defined only for values greater than or equal to 1.
• VALUE! : This error indicates that the input is not a valid number, such as inputting a text string instead of a numeric value.

Conclusion

In conclusion, the ACOSH function in Google Sheets is a vital tool for anyone needing to compute the inverse hyperbolic cosine of a number. By understanding its syntax and functionalities, users can leverage this function for various mathematical, scientific, and engineering applications. Mastery of such functions not only enhances spreadsheet capabilities but also aids in effective data processing and analysis.