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C program for sin(x) series

Sin x is a series of sin function of trigonometry; it can expand up to infinite number of term. Through this series, we can find out value of sin x at any radian value of sin x graph.
Submitted by Ashish Varshney, on March 19, 2018

Reference: The Infinite Series Module.

Sin x Series:

Logic:

1. First the computer reads the value of x and limit from the user.
2. Now convert x to radian value x=x*(3.1415\180)
3. Then using for loop the value of sin(x) is calculated.
4. Finally the value of sin(x) is printed.

Program for sin(x) series in C

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

int fac(int x)
{
	int i,fac=1;
	for(i=1;i<=x;i++)
		fac=fac*i;
	return fac;
}

int main()
{
	float x,Q,sum=0;
	int i,j,limit;

	printf("Enter the value of x of sinx series: ");
	scanf("%f",&x);

	printf("Enter the limit upto which you want to expand the series: ");
	scanf("%d",&limit);

	Q=x;
	x = x*(3.1415/180);

	for(i=1,j=1;i<=limit;i++,j=j+2)
	{
		if(i%2!=0)
		{
			sum=sum+pow(x,j)/fac(j);
		}
		else
			sum=sum-pow(x,j)/fac(j);
	}

	printf("Sin(%0.1f): %f",Q,sum);
	return 0;
}

Output

Enter the value of x of sinx series: 40
Enter the limit upto which you want to expand the series: 5
Sin(40.0): 0.642772

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