Find the maximum and minimum values of `cos^2theta-6s inthetacostheta+3sin^2theta+2.`

Explanation

To find the maximum and minimum values of the expression \( \cos^2 \theta - 6 \sin \theta \cos \theta + 3 \sin^2 \theta + 2 \), we can follow these steps:

### Step 1: Rewrite the expression
Start with the given expression:
\[ y = \cos^2 \theta - 6 \sin \theta \cos \theta + 3 \sin^2 \theta + 2 \]

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