Find the maximum vertical distance between the graphs `y=2+3sinx` and `y=4cos x-3`.

Explanation

To find the maximum vertical distance between the graphs of the functions \( y = 2 + 3 \sin x \) and \( y = 4 \cos x - 3 \), we can follow these steps:

### Step 1: Define the vertical distance
The vertical distance \( D \) between the two graphs can be defined as:
\[ D = y_1 - y_2 \]
where \( y_1 = 2 + 3 \sin x \) and \( y_2 = 4 \cos x - 3 \).
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