9. C PROGRAMMING LAB | Check Now → VTULOOP

C PROGRAMMING LAB –09] Develop a Program to compute Sin(x) using Taylor series approximation. Compare your result with the built-in Library function. Print both the results with appropriate messages.

Table of Contents

Algorithm

Step-1: Start
Step-2: [Read the value of x in degree]- Read x
Step-3: [Initialization and Radians Conversion]
- Temp = x
- x=x*(3.142/180.0)
- Term = x
- sinx = term
- n=1
Step-4: [Computer sin value]
- Repeat while (term>FLT_EPSILON)
- Fact = 2*n*(2*n+1)
- Term = term * x * x /fact Sinx
- sinx +term = n + 1n
Step-5: [Output]- Print sin(x) without using library function of Print sin(x) and with using library function
Step-6: Stop

C PROGRAMMING -Flow Chart

C PROGRAMMING-compute Sin(x) using Taylor series approximation

Program -9 source code

#include<stdio.h>

#include<stdlib.h>

#include<math.h>

void main()

{

int x,n,i;

float rad, res, sum=0;

printf("Enter degree\n");

scanf("%d",&x);

printf("Enter number of terms\n");

scanf("%d",&n);

rad=x*3.14/180;

for(i=1;i<=n;i+=2)

{

if ((i-1)%4==0)

sum=sum+pow(rad,i)/fact(i);

else

sum=sum-pow(rad,i)/fact(i);

}

printf("Calculate sin(%d) = %f", x,sum);

printf("\nLibrary sin(%d) = %f", x,sin(rad));

}

int fact(int m)

{

int i,f=1;

for(i=1;i<=m;i++)

{

f=f*i;

}

return 1;

}

#include<stdio.h> #include<stdlib.h> #include<math.h> void main() { int x,n,i; float rad, res, sum=0; printf("Enter degree\n"); scanf("%d",&x); printf("Enter number of terms\n"); scanf("%d",&n); rad=x*3.14/180; for(i=1;i<=n;i+=2) { if ((i-1)%4==0) sum=sum+pow(rad,i)/fact(i); else sum=sum-pow(rad,i)/fact(i); } printf("Calculate sin(%d) = %f", x,sum); printf("\nLibrary sin(%d) = %f", x,sin(rad)); } int fact(int m) { int i,f=1; for(i=1;i<=m;i++) { f=f*i; } return 1; }

#include<stdio.h>
#include<stdlib.h>
#include<math.h>

void  main()
{
 int x,n,i;
 float rad, res, sum=0;
 printf("Enter degree\n");
 scanf("%d",&x);
 printf("Enter number of terms\n");
 scanf("%d",&n);

 rad=x*3.14/180;
 for(i=1;i<=n;i+=2)
 {
  if ((i-1)%4==0)
      sum=sum+pow(rad,i)/fact(i);
  else
      sum=sum-pow(rad,i)/fact(i); 
 }
 printf("Calculate sin(%d) = %f", x,sum);
 printf("\nLibrary sin(%d) = %f", x,sin(rad));
}

int fact(int m)
{
 int i,f=1;
 for(i=1;i<=m;i++)
 {
    f=f*i;
 }
 return 1;

}