C atanh() Function

Posted in C Tutorial

Updated on Jan 12, 2024

By Mari Selvan

👁️ 67 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In C programming, the atanh() function is part of the <math.h> library, and it stands for arc hyperbolic tangent.

This function calculates the inverse hyperbolic tangent (or arctangent) of a given value. In mathematical terms, it finds the value whose hyperbolic tangent is the specified number.

In this tutorial, we'll explore the usage and functionality of the atanh() function in C.

💡 Syntax

The syntax for the atanh() function is as follows:

Syntax

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double atanh(double x);

x: The value whose inverse hyperbolic tangent is to be calculated.

The function returns the hyperbolic tangent value.

📄 Example

Let's dive into an example to illustrate how the atanh() function works.

atanh.c

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

int main() {
  double x = 0.5;

  // Calculate inverse hyperbolic tangent
  double result = atanh(x);

  // Output the result
  printf("Inverse hyperbolic tangent of %f: %f\n", x, result);

  return 0;
}

💻 Output

Output

Inverse hyperbolic tangent of 0.500000: 0.549306

🧠 How the Program Works

In this example, the atanh() function is used to calculate the inverse hyperbolic tangent of the value 0.5, and the result is printed.

↩️ Return Value

The atanh() function returns the inverse hyperbolic tangent of the given value x in radians.

📚 Common Use Cases

The atanh() function is particularly useful in mathematical and scientific calculations involving hyperbolic functions. It can be used, for example, in statistics, physics, or any domain where hyperbolic functions are relevant.

📝 Notes

The argument x must be in the range [−1,1] to avoid undefined results.
The result is in radians. If degrees are needed, you can convert the result using the formula: result_degrees=result_radians×(180/π).

🎢 Optimization

The atanh() function is typically optimized for performance and accuracy. Ensure that the input values are within the valid range to avoid undefined behavior.

🎉 Conclusion

The atanh() function in C provides a powerful tool for calculating the inverse hyperbolic tangent. It is a valuable asset in mathematical computations that involve hyperbolic functions.

Feel free to experiment with different values of x to observe the behavior of the atanh() function in various scenarios. Happy coding!