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

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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();
}
}

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

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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```

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