Let \( f(x)=\left|\begin{array}{ccc}1+\sin ^{2} x & \cos ^{2} x & 4 \sin 2 x \\ \sin ^{2} x & 1+....

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Let \( f(x)=\left|\begin{array}{ccc}1+\sin ^{2} x & \cos ^{2} x & 4 \sin 2 x \\ \sin ^{2} x & 1+\cos ^{2} x & 4 \sin 2 x \\ \sin ^{2} x & \cos ^{2} x & 1+4 \sin 2 x\end{array}\right| \), then
\( \mathrm{P} \)
the maximum value of \( f(x)= \)
(A) 2
(B) 4
(C) 6
(D) 8


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