If `(3pi)/(2) lt alpha lt 2 pi`, find the modulus and argument of `(1 - cos 2 alpha) + i sin 2 alpha `.

Explanation

To find the modulus and argument of the complex number \( z = (1 - \cos 2\alpha) + i \sin 2\alpha \) for \( \frac{3\pi}{2} < \alpha < 2\pi \), we can follow these steps:

### Step 1: Calculate the Modulus of \( z \)

The modulus of a complex number \( z = x + iy \) is given by:

\[
|z| = \sqrt{x^2 + y^2}
...