Lab Record Program No 8

8.Write a C Program to find Sin(x) and Cos(x) values using series expansion.

 A)PROGRAM FOR SUM OF SIN (X) SERIES /*x -x^3/3! + x^5/5! - .........*/ 

#include<stdio.h>

#include<conio.h> 

#include<math.h>

void main() 

{

 float x,s=0; 

 int fact(int x); 

 int n,i,t=1; 

 clrscr(); 

 printf("\nEnter the value of x & n "); 

 scanf("%f%d",&x,&n); 

 for(i=1; i<=n; i++) 

 { 

 s=s+pow(-1,(i+1))*(pow(x,t))/((float)fact(t)); 

 printf("x^%d/%d!",t,t); 

 if(i%2==0) 

 printf("+");

 else 

 printf("-"); t=t+2;

 } 

 printf("\nSum of series = %.2f",s); 

 getch(); 

} 

int fact(int x) 

{ 

 int i,f=1;

 for(i=1; i<=x; i++)

 f=f*i; 

 return(f);

 }

B)PROGRAM FOR SUM OF COS (X) SERIES

 #include<stdio.h> 

#include<conio.h> 

void main() 

{

 int i, n; 

 float x, sum=1, t=1; 

 clrscr(); 

 printf(" Enter the value for x : "); 

 scanf("%f",&x); 

 printf(" Enter the value for n : "); 

 scanf("%d",&n); 

 x=x*3.14159/180;

 /* Loop to calculate the value of Cosine */ 

 for(i=1;i<=n;i++) 

 {

 t=t*(-1)*x*x/(2*i*(2*i-1)); 

 sum=sum+t; 

 }

 printf(" The value of Cos(%f) is : %.4f", x, sum); 

 getch(); 

}