# Library Function Math h Tanh()

## Tanh() library function in Math

The `tanh()` function is a part of the C math library and is used to calculate the hyperbolic tangent of a given number.The `tanh()` function takes a single argument of type `double`, `float`, or `long double` and returns the hyperbolic tangent of the number as a value of the same type. Let us understand more about Library Function Math h Tanh().

## Library Function Math h Tanh()

The hyperbolic tangent of a number is defined as the ratio of the hyperbolic sine of the number to the hyperbolic cosine of the number. It is represented by the following equation:

`tanh(x) = sinh(x) / cosh(x)`

Here is the syntax for the `tanh()` function in C:

`#include <math.h>double tanh(double x);float tanhf(float x);long double tanhl(long double x);`

Here is an example of how to use the `tan()` function in C:

Run

```#include <stdio.h>#include <math.h>

int main(void)
{
double angle = 1.57;
double tangent = tan(angle);
printf("The tangent of %f is %f\n", angle, tangent);
return 0;
}
```

### Output

`The tangent of 1.570000 is 1255.765592`

## Tanh() important details

Here are some of the important facts about tanh() library math function.

The `tanh()` function is often used in mathematical and scientific computing, as it has applications in areas such as probability theory, statistical mechanics, and neural networks.

Here are some facts about the `tanh()` function in C:

1. The `tanh()` function is defined as the hyperbolic tangent of a number x, which is represented by the equation `tanh(x) = (e^x - e^(-x)) / (e^x + e^(-x))`.

2. The `tanh()` function is defined for all real numbers x.

3. The `tanh()` function has a range of -1 to 1.

4. The `tanh()` function is an odd function, which means that `tanh(-x) = -tanh(x)` for all x.

5. The `tanh()` function is a monotonically increasing function.

6. The `tanh()` function is used in various fields, including machine learning and neural networks, where it is used as an activation function.

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