sin

#include <iostream>
using namespace std;

float power(float a, int b)
{
	float num = a;

	if (b == 0)
	{
		return 1;
	}

	for(int i = 1; i < b; i++)
	{
		a = a * num;
	}
	return a;
}

int factorial(int a) 
{
	int num = 1;
	for (int i = 1; i <= a; i++) 
	{
		num = num * i;
	}
	return num;
}

float rad(int degree)
{
	float rad;
	rad = (degree * 3.14) / 180;
	return rad;
}

float sin(int degree, float eps) 
{
	float sin_ = 0;
	float _sin = 0;
	int n = 1;
	int k = 0;
	while(true)
	{
		_sin = power(-1, k) * (power(rad(degree), 2 * k + 1) / factorial(2 * k + 1));
		sin_ += _sin;
		if (_sin < eps && _sin > -eps)
		{
			return sin_;
		}
		k++;
	}
	return sin_;
}

int main() 
{
	float eps = 0.01;
	cout << sin(30, eps);
}




//for (int k = 0; k < 5; k++)
//{
//	Sin += power(-1, k) * (power(rad(degree), 2 * k + 1) / factorial(2 * k + 1));
//
//}