C# Program to Calculate the Value of cos(x)
Posted by Superadmin on August 15 2022 15:26:56

C# Program to Calculate the Value of cos(x)

 

 

This is a C# Program to find the value of cos(x).

Problem Description

This C# Program Finds the Value of Cos(x).

Problem Solution

Here the cos value is found without using the library math function.

Program/Source Code

Here is source code of the C# Program to Find the Value of Cos(x) . The C# program is successfully compiled and executed with Microsoft Visual Studio. The program output is also shown below.

/*
 * C# Program to Find the Value of Cos(x)
 */
using System;
namespace ConsoleApplication1
{
    class Program
    {
        static void Main(string[] args)
        {
            for (double d = 0; d < 6.0; d += 0.5)
            {
                Console.WriteLine("The cosine of {0} = {1}", d, Math.Cos(d));
                Console.WriteLine("Calculated cosine of {0} = {1}", d, cos(d));
                Console.WriteLine();
            }
            Console.ReadKey(); 
        }
 
        static double cos(double x) 
        {
            double p = x * x; 
            double q = p * p;
            return 1.0 - p / 2 + q / 24 - p * q / 720 + q * q / 40320 
            - p * q * q / 3628800;
        }
    }
}
Program Explanation

In this C# program, library function defined in <math.h> header file is used. The following formula is used to compute the value of Cos(x)
Cos(x) = 1.0- p /2+ q /24- p * q /720+ q * q /40320- p * q * q /3628800

 
Runtime Test Cases
 
The Cosine of 0 = 1
Calculated Cosine of 0 = 1
The Cosine of 0.5 = 0.877582561890373
Calculated Cosine of 0.5 = 0.877582561889864
The Cosine of 1.5 = 0.54030230586814
Calculated Cosine of 1.5 = 0.540302303791887
The Cosine of 2.0 = 0.0707372016677029
Calculated Cosine of 2.0 = 0.0707369341169085