Write C program to implement cosine series using recursion.

#include<stdio.h>

#include<math.h>

main()

{

float x,sum;

int i,n,x1,t;

int fact(int);

printf("\n\n\t\t SUMMATION OF COS(X)");

printf("\n\t\t *************************\n");

printf("\nINPUT:");

printf("\n*******");

printf("\n Enter the Degree:\n");

scanf("%d",&x1);

printf("\n Enter the Number of Term:\n");

scanf("%d",&n);

x=(x1*3.14)/180;

t=-1;

sum=1;

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

{

sum=sum+t*(pow(x,i)/fact(i));

t=t*(-1);

}

printf("\nOUTPUT:");

 printf("\n******");

printf("\n COS(x) value : %f\n",sum);

printf("\n Built in Function for COS(x) : %f\n",cos(x));

getch();

}

fact(int n)

{

int i,f=1;

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

f=f*i;

return(f);

}