Find maximum and minium value of `5costheta+3sintheta(theta+pi/6)` for all real values of `theta`.

Explanation

To find the maximum and minimum values of the expression \(5 \cos \theta + 3 \sin \theta + \frac{\pi}{6}\), we can follow these steps:

### Step 1: Rewrite the Expression
We start with the expression:
\[ y = 5 \cos \theta + 3 \sin \theta + \frac{\pi}{6} \]
We can focus on the trigonometric part first:
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