F) Draw a picture illustrating the polar coordinates of Z and 1/Z.

To illustrate the polar coordinates of a complex number \( Z \) and its reciprocal \( \frac{1}{Z} \), let's break it down into a clear description before we proceed to visualization.

### Polar Coordinates Representation

1. A complex number \( Z \) in polar coordinates is written as:
   \[
   Z = r e^{i\theta}
   \]
   where:


Draw a picture illustrating the polar coordinates of Z and 1/Z.

Explore how to visualize the polar coordinates of a complex number Z and its reciprocal 1/Z using their polar representations. This guide includes the formulas Z = r * e^(iθ) and 1/Z = (1/r) * e^(-iθ), suitable for advanced high school mathematics students.

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