# Find the value of sin(x) using the series up to the given accuracy without using library function - C Language Programming

Find the value of sin(x) using the series up to the given accuracy without using library function.

Click here to open this program in Turbo C++

/**********************************************************************************
Statement - Find the value of sin(x) using the series up to the given accuracy
(without using user defined function). Also print sin(x) using library function.
Programmer - Vineet Choudhary
Written For - http://developerinsider.co
**********************************************************************************/

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

void main()
{
int n, x1;
float  acc, term, den, x, sinx=0, sinval;

clrscr();

printf("Enter the value of x (in degrees)\n");
scanf("%f",&x);

x1 = x;

/* Converting degrees to radians*/

x = x*(3.142/180.0);
sinval = sin(x);

printf("Enter the accuary for the result\n");
scanf("%f", &acc);

term = x;
sinx = term;
n = 1;

do
{
den = 2*n*(2*n+1);
term = -term * x * x / den;
sinx = sinx + term;
n = n + 1;

} while(acc <= fabs(sinval - sinx));

printf("Sum of the sine series         = %f\n", sinx);
printf("Using Library function sin(%d) = %f\n", x1,sin(x));

getch();

}         /*End of main() */

/*------------------------------
Output
Enter the value of x (in degrees)
30
Enter the accuary for the result
0.000001
Sum of the sine series         = 0.500059
Using Library function sin(30) = 0.500059

RUN 2
Enter the value of x (in degrees)
45
Enter the accuary for the result
0.0001
Sum of the sine series         = 0.707215
Using Library function sin(45) = 0.707179
---------------------------------------------*/
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