State True or False for the statements. P The maximum value of \( \...

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State True or False for the statements.
P
The maximum value of \( \left|\begin{array}{ccc}1 & 1 & 1 \\ 1 & (1+\sin \theta) & 1 \\ 1 & 1 & 1+\cos \theta\end{array}\right| \) is \( \frac{1}{2} \).
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