Mathematics: 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.

Consider the set of points defined by z = 5 cos(theta)

ErikHabdlowich

08.01.2022

This is an ellipse.

Step-by-step explanation:

$z=5cos(\theta)+3isin(\theta)$

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

$\theta = 0,90,180,270,360$

z=5,3i,-5,-3i,5 (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 $\theta$ is in fact an ellipse.

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darlene93

05.10.2020

fish/ just kidding it is 103

Step-by-step explanation:

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