Use the table to graph the equation r 1 - sin in the

Question

Question: (a) Make a table of values for the equation r = 1-sin θ. Include θ = 0, π/3, π/2, 2π/3, π, ···.

(b) Use the table to graph the equation r = 1 - sin θ in the xy-plane. This curve is called a cardioid.

(c) At what point(s) does the cardioid r = 1 - sin θ intersect a circle of radius 1/2 centered at the origin?

(d) Graph the curve r = 1 - sin 2θ in the xy-plane. Compare this graph to the cardioid r = 1 - sin θ.