Answer
See image
Work Step by Step
Parametric equations: $\left\{\begin{array}{l}
x=1\\
y=\cos t\\
z=2\sin t
\end{array}\right.$
Build a table of values for t, $0, \pi/4,\pi/2$, ...
calculate the coordinates and plot the points.
This is an ellipse in the plane x=1.
Because $\sin^{2}A+\cos^{2}A=1$, all the points (x,y,z) lie on the curve
$y^{2}+\displaystyle \frac{z^{2}}{4}=1\quad $(an ellipse) in the plane x=1.
