I've been given an assignment to approximate the value of sine of an angle in degrees by using the formula: sin(x) = x −x3/3!+x5/5!−x7/7!+x9/9!· · ·

x is an angle in radians. He wants the program outline to be like so:

1 read in a new value for angle

2 while(angle != 0){

3 convert angle to radians (multiply angle by pi/ 180 )

4 sine = 0

5 n = 1

6 while(n ≤ 15) {

7 calculate next term of series and add it to/subtract it from sine

8 increment n

9 }

10 display sine

11 read in a new value for angle

12 }

I know my problem is my factorial. Im just not sure how to go about this. Can someone please help me with this part? Thanks in advanced

Here is what i wrote:

Code:#include<math.h> #include<stdio.h> #define PI 3.141592653589793 int main() { float angle,radian,sine,n,x,factorial,s,i; x = 1; printf("Enter angle in degrees (0 to quit)\n"); scanf("%f",&angle); while (angle!=0){ radian=angle*(PI/180); sine=0; n=1; while (n<=15) { s = (radian + (pow(-1,n+1))+(pow(radian, n)) / (n)); n++; } printf("sin(%f)=%f\n",angle,s); printf("Enter angle in degrees (0 to quit): "); scanf("%f",&angle); } } return 0; }