If `f(x , y)` satisfies the equation `1+4x-x^2=sqrt(9sec^2y+4cos e c^2y)` then find the value of `xa n dtan^2ydot`

Explanation

To solve the problem, we need to find the value of \( x \cdot \tan^2 y \) given the equation:

\[ 1 + 4x - x^2 = \sqrt{9 \sec^2 y + 4 \cos^2 y} \]

### Step 1: Simplify the Left-Hand Side

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