If  \(\displaystyle f\left ( x \right )=\begin{vmatrix}1 &3 \cos x&1 \\ \sin x...

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If 
\(\displaystyle f\left ( x \right )=\begin{vmatrix}1 &3 \cos x&1 \\ \sin x & 1& 3 \cos x \\  1& \sin x& 1 \end{vmatrix}\) 
find the maximum value of \(f(x)\).
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