Assignments » Flow Of Control  »  Set3  »  Solution 3

Write a program to compute the cosine of x. The user should supply x and a positive integer n. We compute the cosine of x using the series and the computation should use all terms in the series up through the term involving xⁿ

cos x = 1 - x²/2! + x⁴/4! - x⁶/6! -.....

Source Code

#include<iostream>

using namespace std;



int main()

{

	int i,j,n,fact,sign=-1;

	float x, p,sum=0;

	cout<<"Enter the value of x : ";

	cin>>x;

	cout<<"Enter the value of n : ";

	cin>>n;



	for(i=2;i<=n;i+=2)

	{
                p=1
		fact=1;

		for(j=1;j<=i;j++)

		{

			p=p*x;

			fact=fact*j;

		}

		sum+=sign*p/fact;

		sign=-1*sign;

	}

	cout<<"cos "<<x<<"="<<1+sum;





	return 0;

}

Output