The curve with parametric equations x = (1 + 2 sin ) cos , y = (1 + 2 sin ) sin is called

The curve with parametric equations x = (1 + 2 sin θ) cos θ, y = (1 + 2 sin θ) sin θ is called a limaçon and is shown in the accompanying figure. Find the points (x, y) and the slopes of the tangent lines at these points for

a. θ = 0. 

b. θ = π/2. 

c. θ = 4π/3.

y 3 1 X