Code:
#include stdio.h
#include math.h
void main()
{
int n, x1, i, j;
float x, sign, cosx, fact;
printf("Enter the number of the terms in a series\n");
scanf("%d", &n);
printf("Enter the value of x(in degrees)\n");
scanf("%f", &x);
x1 = x;
/* Degrees to radians */
x = x * (3.142 / 180.0);
cosx = 1;
sign = -1;
for (i = 2; i <= n; i = i + 2)
{
fact = 1;
for (j = 1; j <= i; j++)
{
fact = fact * j;
}
cosx = cosx + (pow(x, i) / fact) * sign;
sign = sign * (-1);
}
printf("Sum of the cosine series = %7.2f\n", cosx);
printf("The value of cos(%d) using library function = %f\n", x1,
cos(x));
}
Output:
Enter the number of the terms in a series
3
Enter the value of x(in degrees)
90
Sum of the cosine series = -0.23
The value of cos(90) using library function = -0.000204
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