Write a program in C to find the sum of the Taylor series of cos(x)

 TASK-

Write a program in C to find the sum of the Taylor series of cos(x)

Taylor series of Cos(x):

1 - x²/2! + x⁴/4!...….

CODE:

#include<stdio.h>

#include<math.h> // To use power function

int main(){

int y=2,n,i,sign=-1,fact=1,j;

float x,sum=0,eq;

       //Asking for value of x and number of terms n

printf("Enter the value of x and number of terms n "); 

printf("\nX: "); 

scanf("%f",&x); // x from here

printf("\nN: ");

scanf("%d",&n); //number of terms(n) here

printf("\n");

printf("1");

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

{

fact=1;

for (j=1;j<=y;j++) /*Calculating the factorial (for better understanding about factorial program click here 👉👉 Factorial and if you want factorial by recursion click here 👉👉 Factorial by recursion)*/

{

fact=fact*j;

}

eq=((pow(x,y))/fact)*sign;

sum=sum+eq;

if (sign<0)

printf("-(%0.2f ^ %d /%d!)",x,y,y);

else 

printf("+(%0.2f ^ %d /%d!)",x*sign,y,y);

sign=sign*-1; //sign is changing after each term

y+=2; //because the series is going in even order x^2/2! the x^4/4!

}

   sum=sum+1;

   printf("\nSum of series = %f ",sum);

   getchar();

   return 0;

}

Expected Output: