C asinh() Function

Posted in C Tutorial

Updated on Jan 12, 2024

By Mari Selvan

👁️ 91 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In C programming, the asinh() function is part of the math library and is used to calculate the inverse hyperbolic sine (also known as arcsinh or asin hyperbolic) of a given number.

The inverse hyperbolic sine is the value whose hyperbolic sine is the specified number.

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

💡 Syntax

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

Syntax

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double asinh(double x);

x: The argument for which the inverse hyperbolic sine will be calculated.

The function returns the inverse hyperbolic sine of x in radians.

📄 Example

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

asinh.c

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

int main() {
  double x = 2.0;
  double result = asinh(x);

  printf("The inverse hyperbolic sine of %.2f is %.2f radians.\n", x, result);

  return 0;
}

💻 Output

Output

The inverse hyperbolic sine of 2.00 is 1.44 radians.

🧠 How the Program Works

In this example, the asinh() function is used to calculate the inverse hyperbolic sine of the number 2.0, and the result is printed.

↩️ Return Value

The asinh() function returns the inverse hyperbolic sine of the specified argument x in radians.

📚 Common Use Cases

The asinh() function is useful in mathematical and scientific applications, especially when dealing with hyperbolic functions. It provides a way to calculate the inverse of the hyperbolic sine, which can be necessary in various mathematical computations.

📝 Notes

The argument x must be greater than or equal to 1. For x less than 1, the function still works, but the result may be complex.
The result is in radians, and if degrees are required, it can be converted using the formula: result_in_degrees = result_in_radians * (180 / M_PI).

🎢 Optimization

The asinh() function is typically optimized for performance and precision by the underlying math library. No specific optimizations are usually required.

🎉 Conclusion

The asinh() function in C is a valuable tool for calculating the inverse hyperbolic sine of a given number. It finds application in various mathematical and scientific computations, providing a means to work with hyperbolic functions.

Feel free to experiment with different values of x to observe how the inverse hyperbolic sine changes. Happy coding!