# COSH Function in☝️ Google Sheets Explained (Definition, Syntax, How to Use It, Examples)

This guide covers everything you need to know about the Google Sheets COSH function, including its definition, syntax, use cases, and how to use it.

## What is the COSH Function? How Does It Work?

The COSH function returns the hyperbolic cosine of any real number. The primary purpose of the COSH function is to calculate the hyperbolic cosine of a given value. In mathematics, the hyperbolic cosine function is a smooth curve that starts at value 1 when the input is 0, and increases exponentially for positive values and decreases exponentially for negative values.

This function is commonly used in many fields, including engineering, physics, and mathematics, where it’s frequently used in calculations involving hyperbolic trigonometric functions.

In the context of Google Sheets, the COSH function can be particularly useful when you’re dealing with large sets of data that need to have the hyperbolic cosine operation performed on them. It can save time and improve accuracy compared to manually calculating each individual value.

## COSH Syntax

The syntax and arguments for the function are as follows:

COSH(value)

Here, ‘value‘ represents any real number for which you want to calculate the hyperbolic cosine. It can be any real number or a reference to the cell containing a real number.

Here are the key points to remember regarding the syntax and arguments:

• The ‘value’ argument can also be a result of another function or formula as long as the result is a real number.
• The COSH function in Google Sheets works on radians, not degrees. If you have an angle in degrees, you should first convert it to radians before using it as the ‘value’ argument in the COSH function.
• The function is not case-sensitive. Therefore, ‘COSH’, ‘cosh’, and ‘Cosh’ are all valid and will work the same way.

## Examples of How to Use the COSH Function

Here are some practical examples to illustrate how to use the COSH function in Google Sheets:

### Example #1: Basic Usage of the COSH Function

Let’s start with the most basic use of the COSH function. Suppose you want to calculate the hyperbolic cosine of 1. You can do this by entering the following formula into a cell:

=COSH(1)

When you press Enter, Google Sheets will calculate the hyperbolic cosine of 1, which is approximately 1.54308063481524.

### Example #3: Using the COSH Function with Cell References

In addition to using the COSH function with numbers directly, you can also use it with cell references. For example, suppose you have a number in cell A1 and want to calculate its hyperbolic cosine. You can do this by entering the following formula into a cell:

=COSH(A1)

When you press Enter, Google Sheets will calculate the hyperbolic cosine of the number in cell A1.

### Example #4: Using the COSH Function with Negative Numbers

The COSH function can also be used with negative numbers. For example, if you want to calculate the hyperbolic cosine of -2, you would enter the following formula into a cell:

=COSH(-2)

When you press Enter, Google Sheets will calculate the hyperbolic cosine of -2, which is approximately 3.76219569108363. This is the same result as the hyperbolic cosine of 2, because the hyperbolic cosine function is even, which means that COSH(x) = COSH(-x) for any number x.

## Why Is COSH Not Working? Troubleshooting Common Errors

If you are using the COSH function in Google Sheets and it’s not working as expected, you may encounter a few common errors. Understanding these errors, their causes, and their solutions can greatly simplify your troubleshooting process.

### #VALUE! Error

Cause: This error usually occurs when the function’s input argument is not a valid numerical value. For instance, you may have entered a text string or a cell reference that contains text.

Solution: Ensure that the COSH function’s input is a numerical value. If you are referencing a cell, make sure that the cell contains a valid number.

### #NUM! Error

Cause: The #NUM! error typically occurs when the input number is too large for the COSH function to handle. Google Sheets can only handle numbers up to a certain size, and trying to calculate the hyperbolic cosine of a very large number will result in this error.

Solution: Try to use smaller numbers as input for the COSH function. If you are dealing with very large numbers, consider using mathematical transformations to reduce the size of the number before applying the function.

### #REF! Error

Cause: This error is usually encountered when the cell reference provided as an argument in the COSH function is invalid. This may occur if the referenced cell has been deleted or the reference points to a non-existing cell.

Solution: Check the cell references in your COSH function and ensure they point to existing cells. If you have deleted cells, consider undoing the deletion or adjusting your formula to reference the correct cells.

## Using COSH With Other Google Sheets Functions

Combining the COSH function with other Google Sheets functions can enhance its utility and extend its application. Here are some examples.

### With SUM

Usage: You can use the SUM function with the COSH function to add up the hyperbolic cosine values of different cells.

Example: Suppose you have values in cells A1, A2, and A3, and you want to find the sum of their hyperbolic cosine values. The formula would be:

=SUM(COSH(A1), COSH(A2), COSH(A3))

### With AVERAGE

Usage: The AVERAGE function can be combined with the COSH function to find the average of the hyperbolic cosine values of a range of cells.

Example: If you have values in cells A1 through A5 and you want to find the average of their hyperbolic cosine values, the formula would be:

=AVERAGE(COSH(A1:A5))

### With MAX

Usage: The MAX function can be used with the COSH function to find the maximum hyperbolic cosine value among a range of cells.

Example: If you have values in cells A1 through A5 and you want to find the maximum of their hyperbolic cosine values, the formula would be:

=MAX(COSH(A1:A5))

### With MIN

Usage: The MIN function can be used with the COSH function to find the minimum hyperbolic cosine value among a range of cells.

Example: If you have values in cells A1 through A5 and you want to find the minimum of their hyperbolic cosine values, the formula would be:

=MIN(COSH(A1:A5))

### With IF

Usage: The IF function can be used with the COSH function to perform conditional operations based on the hyperbolic cosine value of a cell.

Example: Suppose you have a value in cell A1 and want to check if its hyperbolic cosine value is greater than 2. If it is, you want the cell to display “Yes”, otherwise, “No”. The formula would be:

=IF(COSH(A1)>2, “Yes”, “No”)

For more details on the COSH function, check out the official documentation at the Google Docs Editors Help Center. 