# tanh()

Published Nov 21, 2022
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The `Math.tanh()` function returns the hyperbolic tangent of an angle given in radians.

## Syntax

``````std::tanh(angle)
``````

The `angle` is measured in radians and the return type is a `double`, `float`, or `long double`.

The mathematical formula used in `tanh()` looks like this:

tanh(x) = (ex - e-x) / (ex + e-x)

## Example

The following example demonstrates the application of `.tanh()` function:

```#include <iostream>#include <cmath>
int main() {  // Values in degree  double value1 = -30.0;  double value2 = 120.0;  double value3 = 180.0;
// Convert degree to radian  value1 = value1 * 3.1415 / 180;  value2 = value2 * 3.1415 / 180;  value3 = value3 * 3.1415 / 180;
double result1 = std::tanh(value1);  double result2 = std::tanh(value2);  double result3 = std::tanh(value3);
std::cout << "The value of tanh(" << value1 << ") is: " << result1 << "\n";  std::cout << "The value of tanh(" << value2 << ") is: " << result2 << "\n";  std::cout << "The value of tanh(" << value3 << ") is: " << result3 << "\n";}
```

This produces the following output:

```The value of tanh(-0.523583) is: -0.480461The value of tanh(2.09433) is: 0.97012The value of tanh(3.1415) is: 0.996271
```

## Codebyte Example

This example uses `tanh()` to return the hyperbolic tangent of `1.0` radians:

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