12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar coordinates (r, 0) that satisfies the conditions. Leave answers in Tt radians when appropriate. a) r > 0 and 0<0 < 2t

1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. (make it as an equation equal to r)1b) Use a trigonometric identity to show that the polar equation can be simplifiedas r^2 = 2 cos 2θ. Explain why all the solutions of the original equation are stillsolutions of this equation (noting that you have probably divided both sides byr^2).