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
Enter the value of x : 1 Enter the value of n : 5 cos 1 = 0.541667