Draw the graph of `y = [cos x], x in [0, 2pi],` where `[*]` represents the greatest integer function.

Explanation

To draw the graph of \( y = [ \cos x ] \) for \( x \in [0, 2\pi] \), where \( [ \cdot ] \) represents the greatest integer function (also known as the floor function), we will follow these steps:

### Step 1: Understand the function \( y = \cos x \)

First, we need to understand the behavior of the cosine function over the interval \( [0, 2\pi] \).

- At \( x = 0 \): \( \cos(0) = 1 \)
- At \( x = \frac{\pi}{2} \): \( \cos\left(\frac{\pi}{2}\right) = 0 \)
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