UVA - 12575 - Sin Cos Problem

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {
static double eps=0.01;
    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int cases = Integer.parseInt(br.readLine());
        for (int i = 0; i < cases; i++) {
           String[]str=br.readLine().split(" ");
           double x=Double.parseDouble(str[0]);
           double y=Double.parseDouble(str[1]);
           double max=func(x,y);
           System.out.printf("%.2f %.2f\n",ans(x,y,max,Math.PI),max);
        }
    }
    static double func(double a, double b) {
        double temp = Math.sqrt(a*a+b*b);
        return temp;
}

 static double ans(double x, double y,double max,double pi) {
        if(x==0 && y==0)
            return 0;
        double i;
        for(i=Math.atan(x/y); i <= 2*pi; i+=pi/2) {
            if(Math.abs(x*Math.sin(i)+y*Math.cos(i)-max) < eps && i>=0)
                    break;
        }
        return i;
    }
}