Find the maximum and minimum value of `y = asin^2x + b sinx.cosx + c cos^2x`

Explanation

To find the maximum and minimum values of the function \( y = a \sin^2 x + b \sin x \cos x + c \cos^2 x \), we can follow these steps:

### Step 1: Rewrite the function using trigonometric identities
We know the following identities:
- \( \sin^2 x = \frac{1 - \cos 2x}{2} \)
- \( \cos^2 x = \frac{1 + \cos 2x}{2} \)
- \( \sin x \cos x = \frac{1}{2} \sin 2x \)

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