Consider the set of points defined by z = 5 cos(theta) + 3i sin(theta).
i. plot z for theta = 0°, 90°, 180°, 270°, 360°. based on your plot, form a conjecture about the graph of the
set of complex numbers.

This is an ellipse.

Step-by-step explanation:

Applying the angle values in intervals of right angles (90°), the resulting set of values for z are:

(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 is in fact an ellipse.