#include <iostream.h>
#include <math.h>     /* This library contains the cos and sin functions */

/* This program converts polar coordinates of the form (radius, angle) to
   cartesian (x, y) coordinates.
*/

main() {

  float radius,  /* distance from origin */
        degrees, /* angle (in degrees) */
        radians, /* corresponding angle in radians (necessary for C's trig) */
        x,       /* corresponding x and y coordinates */
        y;

  /* Since this is a fairly complex program, we will include some detailed 
     instructions on what will be input */

  cout << "This program converts polar coordinates to Cartesian form\n\n";

  /* Prompt for input */

  cout << "Enter the radius (the distance from the point to the origin): ";
  cin >> radius;
  cout << "Enter the angle (in degrees): ";
  cin >> degrees;

  /* Convert angle in degrees to radians by multiplying by (PI/90). This 
     is necessary because the C trig functions are in terms of radians. */

  radians = degrees * (3.14159/2) / 90;

  /* Compute x and y using cos and sin functions. */

  x = radius * cos(radians);
  y = radius * sin(radians);

  /* Output the Cartesian coordinates in an infomative manner. */

  cout << "\nThe corresponding Cartesian coordinates are ("
       << x << ", " << y << ")\n";
  }