The COSH function in Excel is powerful for performing hyperbolic calculations. It computes the hyperbolic cosine of a numeric input, allowing users to work with hyperbolic functions in various mathematical and engineering tasks.

Syntax

COSH(number)

• number: The value for which you want to calculate the hyperbolic cosine. This can be either a numeric value or a reference to a cell containing a number.

Example #1

=COSH(0)

This function calculates the hyperbolic cosine of 0, resulting in 1 since cosh(0) = 1.

Example #2

=COSH(1)

This calculates the hyperbolic cosine of 1, yielding approximately 1.5431 as cosh(1) ≈ 1.5431.

Example #3

=COSH(-2)

This function computes the hyperbolic cosine of -2, which also results in approximately 3.7622 as cosh(-2) = cosh(2).

Error handling

• VALUE!: This error occurs when the input is not numeric, indicating that the function cannot process the provided argument.
• NUM!: This error happens if the input number is invalid or exceeds Excel’s numeric limits.

Conclusion

In summary, the COSH function is a useful tool for calculating hyperbolic cosines in Excel, pertinent for mathematical modeling and analysis. Understanding its syntax and behavior with various inputs enhances its application in your data calculations.