Answer:
This is an ellipse.
Step-by-step explanation:
[tex]z=5cos(\theta)+3isin(\theta)[/tex]
Applying the angle values in intervals of right angles (90°), the resulting set of values for z are:
[tex]\theta = 0,90,180,270,360[/tex]
[tex]z=5,3i,-5,-3i,5[/tex] (again)
If you look at the plot, you will observe how these values represent points in the xy plain. All of them belong to either the x or the y axis.
The resulting figure for the whole set of values of [tex]\theta[/tex] is in fact an ellipse.
