To solve the problem you must know that to change from Cartesian to polar coordinates you must write: x = rcos (θ) Where "r" is the radius Likewise y = rsin (θ) Therefore, in the expression r = 3cos (θ) one can write r as: r = x / cos (θ) So: x / cos (θ) = 3cos (θ) x = 3cos ^ 2 (θ) The same for y ... y = rsin (θ) y = 3cos (θ) sin (θ).
Finally the correct answer is option 2. x = 3cos ^ 2 (θ) y = 3cos (θ) sin (θ).
