C cosh() Function

Posted in C Tutorial

Updated on Jan 12, 2024

By Mari Selvan

👁️ 51 - Views

⏳ 4 mins

💬 1 Comment

Photo Credit to CodeToFun

🙋 Introduction

In C programming, the <math.h> library provides a set of mathematical functions to perform operations on numbers.

The cosh() function is one such function that calculates the hyperbolic cosine of a given angle.

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

💡 Syntax

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

Syntax

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double cosh(double x);

x: The angle in radians for which the hyperbolic cosine needs to be calculated.

📄 Example

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

cosh.c

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

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

  printf("The hyperbolic cosine of %f is: %f\n", angle, result);

  return 0;
}

💻 Output

Output

The hyperbolic cosine of 1.500000 is: 2.352410

🧠 How the Program Works

In this example, the cosh() function is used to calculate the hyperbolic cosine of the angle 1.5 radians and then prints the result.

↩️ Return Value

The cosh() function returns the hyperbolic cosine of the given angle x as a double value.

📚 Common Use Cases

The cosh() function is particularly useful in mathematical computations involving hyperbolic trigonometric functions. Hyperbolic cosine is often used in areas such as physics and engineering, especially when dealing with exponential growth or decay problems.

📝 Notes

The range of valid input values for cosh() is from 0 to positive infinity.
The hyperbolic cosine function is defined as (e^x + e^(-x)) / 2, where e is the base of the natural logarithm.

🎢 Optimization

The cosh() function is typically optimized for performance, and no additional optimization is required. Ensure that the input values are within the valid range.

🎉 Conclusion

The cosh() function in C provides a straightforward way to calculate the hyperbolic cosine of a given angle. Understanding hyperbolic trigonometric functions is essential for solving problems in various scientific and engineering disciplines.

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