C program to find sin(x)

/* To find sin(x) */

#include<stdio.h>

#include<conio.h>

#include<math.h>

#define f0(x) sin(x)

#define f1(x) cos(x)

#define f2(x) -sin(x)

#define f3(x) -cos(x)

#define f4(x) sin(x)

void main()

{

float t,x,h,v,i=0,ea=100;

clrscr();

puts("Enter value of x & h to find sin(x)");

scanf("%f %f",&x,&h);

x=x*3.14231/180;

h=h*3.14231/180;

puts("------------------------------------------------");

puts("Iter. ln(x+h) \tEa");

puts("------------------------------------------------");

v=f0(x);

printf("%2.0f\t%f\t%f",i++,v,ea);

t=v;

v=v+h*f1(x);

ea=(v-t)*100/v;

printf("\n%2.0f\t%f\t%f",i++,v,ea);

t=v;

v=v+h*h*f2(x)/2;

ea=(v-t)*100/v;

printf("\n%2.0f\t%f\t%f",i++,v,ea);

t=v;

v=v+h*h*h*f3(x)/(3*2);

ea=(v-t)*100/v;

printf("\n%2.0f\t%f\t%f",i++,v,ea);

t=v;

v=v+h*h*h*h*f4(x)/(4*3*2);

ea=(v-t)*100/v;

printf("\n%2.0f\t%f\t%f",i++,v,ea);

puts("\n-----------------------------------------------");

getch();

}
















Output of Program:-




Enter value of x & h to find sin(x)

44 1

------------------------------------------------

Iter. sin(x+h) Ea

------------------------------------------------

0 0.694658 100.000000

1 0.707213 1.775254

2 0.707107 -0.014962

3 0.707106 -0.000093

4 0.707106 0.000000

------------------------------------------------