# TANH

The `TANH` function returns the hyperbolic tangent of a value. It is commonly used in mathematical modeling, such as in statistics, physics, and engineering.

## Usage

Use the `TANH` formula with the syntax shown below, it has 1 required parameter:

Parameters:
1. value (required):
The value for which to calculate the hyperbolic tangent. Must be a numeric value or a reference to a cell containing a numeric value.

## Examples

Here are a few example use cases that explain how to use the `TANH` formula in Google Sheets.

### Calculate the hyperbolic tangent of a value

Use the `TANH` function to calculate the hyperbolic tangent of a given value, which can be useful in modeling various physical processes.

### Calculate the rate of change of a function

The derivative of the hyperbolic tangent function can be used to calculate the rate of change of a function. The `TANH` function can be used to evaluate this derivative for a given value.

### Normalize data in a range

The `TANH` function can be used to normalize data in a range by applying the hyperbolic tangent function to each value. This can be useful when working with data that has a wide range of values.

## Common Mistakes

`TANH` not working? Here are some common mistakes people make when using the `TANH` Google Sheets Formula:

### Not providing a value

The TANH formula requires a value to be provided as input. If no value is provided, the formula will return an error. Make sure to include a value in the parentheses after TANH.

### Providing non-numeric values

The TANH formula can only be used with numeric values. If a non-numeric value is provided as input, the formula will return an error. Make sure to only provide numeric values as input to TANH.

### Forgetting to close parentheses

The TANH formula requires the input value to be enclosed in parentheses. If the parentheses are not closed, the formula will return an error. Make sure to close the parentheses after the input value.

The following functions are similar to `TANH` or are often used with it in a formula:

• `TAN`

The `TAN` function returns the tangent of an angle specified in radians. Tangent is the ratio of the length of the opposite side to the length of the adjacent side of a right-angled triangle. This function is commonly used in trigonometry and geometry calculations.

• `ATANH`

The `ATANH` function returns the inverse hyperbolic tangent of a value. It is commonly used in mathematical calculations involving hyperbolic functions.

• `SINH`

The `SINH` function returns the hyperbolic sine of any real number. The hyperbolic sine is a mathematical function that describes the shape of a hanging cable supported at its ends and acted upon by a uniform gravitational force. In Google Sheets, it is most commonly used in mathematical and statistical formulas.

• `COSH`

The `COSH` function returns the hyperbolic cosine of a given value. The hyperbolic cosine is defined as (ex + e-x) / 2, where x is the given value. This function is most commonly used in mathematical calculations and modeling.

You can learn more about the `TANH` Google Sheets function on Google Support.