If \( \Delta=\left|\begin{array}{ccc}1 & 3 \cos \theta & 1 \\ \sin \theta & 1 & 3 \cos \theta \\....
If \( \Delta=\left|\begin{array}{ccc}1 & 3 \cos \theta & 1 \\ \sin \theta & 1 & 3 \cos \theta \\ 1 & \sin \theta & 1\end{array}\right| \), then the value of
\( \mathrm{P} \)
\( \left(\Delta_{\max }\right) / 2 \) is..............
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