/* This program finds the remaining unknowns in a triangle with 2 sides known, A and B.
The angle inbetween, c, is also known. */


#include <iostream>
#include <cmath>
using namespace std;

int main()
{

	double side_A;
	double side_B;
	double angle_c;

	cout << "Please enter two sides of the triangle" << endl;
	cin >> side_A;
	cin >> side_B;

	cout << "Please enter the angle inbetween those sides" << endl;
	cin >> angle_c;

	double angle_radians = (angle_c)*(3.141592653589793/180);

	

	double side_C;

	//Find side_C using Law of Cosines.

	side_C = ((side_A * side_A + side_B * side_B) - (2*side_A * side_B* cos(angle_radians)));
	side_C = sqrt(side_C);


	double angle_a;
	double angle_b;

	// Now I find Angle A using Law of Sines....Side A/Sine A= Side B/Sine B= Side C/Sine C
// The result of the law of sines is the sin of angle A. I must then find the inverse.(asin)

         PROGRAM IS MESSING UP HERE

	angle_a = (side_A * sin(angle_c))   / side_C;


       PROGRAM IS MESSING UP HERE

	angle_a = asin(angle_a);

        PROGRAM MESSING UP HERE ^^^^^^^^^^^^
	
	// Now I find angle_b by subtracting two known angles from 180.

	angle_b = (180 - (angle_a + angle_c));

	cout << "The angle in radians is: " << angle_radians << endl;

	cout << "The third side is: " << side_C << endl;
	cout << "The two remaining angles are: " << angle_a << " and " << angle_b << endl;

	return 0;

}