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()

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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