Write a program to compute sin x for given x. The user should supply x and a positive integer n. We compute the sine of x using the series and the computation should use all terms in the series up through the term involving xn
sin x = x - x3/3! + x5/5! - x7/7! + x9/9! ........
#include <stdio.h>
int main()
{
int i, j, n, fact, sign = - 1;
float x, p, sum = 0;
printf("Enter the value of x : ");
scanf("%f", &x);
printf("Enter the value of n : ");
scanf("%d", &n);
for (i = 1; i <= n; i += 2)
{
p = 1;
fact = 1;
for (j = 1; j <= i; j++)
{
p = p * x;
fact = fact * j;
}
sign = - 1 * sign;
sum += sign * p / fact;
}
printf("sin %0.2f = %f", x, sum);
return 0;
}
Enter the value of x : 2
Enter the value of n : 3
sin 2.00 = 0.666667