Find the Cartesian equation of the curve given in polar coordinates r = sin(2θ).

Find the polar equation of x^2 + y^2 = 4y.

Sketch the limaçon r =√3 + 2 cos(θ) showing the tangent lines. Set up the integrals
to evaluate the area inside the outer loop but outside the inner loop. Do not evaluate the integrals. Do not simplify