C sinh() Function

Posted in C Tutorial

Updated on Jan 13, 2024

By Mari Selvan

👁️ 72 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

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

This mathematical function is used to calculate the hyperbolic sine of a given angle. Hyperbolic functions are analogs of trigonometric functions, and they are defined in terms of the exponential function.

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

💡 Syntax

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

Syntax

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double sinh(double x);

x: The angle in radians for which you want to calculate the hyperbolic sine.

📄 Example

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

sinh.c

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

int main() {
  double angle = 1.5;
  double result = sinh(angle);

  printf("The hyperbolic sine of %.2f radians is: %.4f\n", angle, result);

  return 0;
}

💻 Output

Output

The hyperbolic sine of 1.50 radians is: 2.1293

🧠 How the Program Works

In this example, the sinh() function is used to calculate the hyperbolic sine of an angle of 1.5 radians, and the result is printed to the console.

↩️ Return Value

The sinh() function returns the hyperbolic sine of the given angle x as a double-precision floating-point number.

📚 Common Use Cases

The sinh() function is useful in mathematical and scientific calculations involving exponential growth or decay. It is commonly used in areas such as physics, engineering, and finance.

📝 Notes

The hyperbolic sine function is defined as (e^x - e^(-x)) / 2, where e is the base of the natural logarithm (approximately equal to 2.71828).
The input angle x is expected to be in radians.

🎢 Optimization

The sinh() function is typically efficiently implemented in standard math libraries, and no additional optimization is required.

🎉 Conclusion

The sinh() function in C provides a valuable tool for calculating the hyperbolic sine of a given angle. Whether you're working on mathematical simulations or scientific applications, understanding hyperbolic functions is essential, and sinh() plays a role in such computations.

Feel free to experiment with different angles and explore the behavior of the sinh() function in various scenarios. Happy coding!