The maximum value of \( \Delta=\left|\begin{array}{ccc}1 & 1 & 1 \\...

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The maximum value of \( \Delta=\left|\begin{array}{ccc}1 & 1 & 1 \\ 1 & 1+\sin \theta & 1 \\ 1+\cos \theta & 1 & 1\end{array}\right| \) is ( \( \theta \) is real number)
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WV
(A) \( \frac{1}{2} \)
(B) \( \frac{\sqrt{3}}{2} \)
(C) \( \sqrt{2} \)
(D) \( \frac{2 \sqrt{3}}{4} \)
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