The COSH function in Google Sheets is a mathematical function used to compute the hyperbolic cosine of a given real number. This function is particularly useful in various mathematical and scientific applications, including geometry, physics, and engineering. By applying this function, users can effortlessly calculate the hyperbolic cosine, which can then be incorporated into more complex formulas or analyses within their spreadsheets.

Syntax

COSH(value) 

• value: This parameter represents the real number for which the hyperbolic cosine needs to be computed. It can be a direct number or a reference to a cell containing a numeric value.

Example #1

=COSH(0)

This function call will compute the hyperbolic cosine of 0, resulting in a value of 1. The hyperbolic cosine of zero is always one. Example result: 1.

Example #2

=COSH(1)

Here, the function evaluates the hyperbolic cosine of 1, yielding a result of approximately 1.5431. This example demonstrates how COSH can be used to compute values for positive integers. Example result: 1.5431.

Example #3

=COSH(-1)

This expression calculates the hyperbolic cosine for -1, which also results in approximately 1.5431. This illustrates the symmetric property of the hyperbolic cosine function, where COSH(-x) = COSH(x). Example result: 1.5431.

Error handling

• VALUE! This error occurs when the input provided is not a valid number. Ensure that the argument supplied to COSH is a real number or a cell reference containing a valid numeric value.
• NUM! This error indicates that the number provided is out of acceptable range for computation. Check if the input is a valid real number.

Conclusion

The COSH function is a valuable tool for users engaged in mathematical computations that require the hyperbolic cosine of real numbers. Its simplicity in syntax and broad applicability across various fields make it an essential function for anyone working with data analysis in Google Sheets. By mastering COSH, users can enhance their analytical capabilities and streamline their calculations effectively.