# COSH

The COSH function returns the hyperbolic cosine of a number. It is useful for calculations involving exponential growth or decay in various fields such as mathematics, physics, engineering, and finance.

**Example explanation**

Cells [B2:B5] use the COSH function to calculate the hyperbolic cosine of the angle specified in their corresponding cell in column A (in radians).

## Syntax ðŸ”—

=COSH(`number`

)

`number` | The numeric value for which the hyperbolic cosine will be calculated. |

## About COSH ðŸ”—

Imagine you're dealing with phenomena that exhibit exponential behavior, like the charging and discharging of capacitors, population growth, or the shape of a hanging cable. In such scenarios, understanding the hyperbolic cosine becomes crucial. The COSH function in Excel aids in precisely tackling these exponential patterns across diverse disciplines, offering a powerful tool for computation and analysis. Simply input the numeric value for which you seek the hyperbolic cosine, and Excel diligently calculates and returns the result. The hyperbolic cosine plays a significant role in modeling various natural and artificial processes, making the COSH function an indispensable asset for professionals and students alike.

## Examples ðŸ”—

If you want to calculate the hyperbolic cosine of the number 3, you can use the following formula: =COSH(3). This will return the hyperbolic cosine of 3.

## Notes ðŸ”—

The COSH function assumes that the 'number' argument is a valid numeric value or a reference to a cell containing a valid numeric value. It operates based on the mathematical definition of the hyperbolic cosine and is designed to provide accurate results in various exponential and growth-related calculations.

## Questions ðŸ”—

**What is the significance of the hyperbolic cosine in real-world applications?**

The hyperbolic cosine is essential in modeling exponential growth or decay phenomena, such as the charging and discharging of capacitors, population growth, or the shape of a hanging cable. It finds applications in fields like mathematics, physics, engineering, and finance.

**Can the COSH function handle negative input values?**

Yes, the COSH function can handle negative input values and returns the hyperbolic cosine based on the mathematical definition, providing accurate results for both positive and negative input values.