Chapter 12.1, Problem 24E

(a)

To determine

To obtain: An equation in terms of x and y by eliminating the parameter t in the parametric equation $x=\sin t,y=2\sin t+1;0\le t\le \frac{\pi }{2}$.

(b)

To determine

To describe: The curve whose parametric equation is $x=\sin t,y=2\sin t+1;0\le t\le \frac{\pi }{2}$.