68. Analyzing Rose Curves Consider the polar equation $r=a
\sin n \thetaforn$, an odd integer.
(a) Prove that the graph is symmetric about the y-axis.
(b) Prove that the graph is not symmetric about the x-axis.
(c) Prove that the graph is not symmetric about the origin.
(d) Prove that the maximum r-value is ∣a∣.
(e) Analyze the graph of this curve.