If \( \phi \in \mathbf{R} \) then \( \Delta(\phi)= \) \[ \left|\beg...

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If \( \phi \in \mathbf{R} \) then \( \Delta(\phi)= \)
\[
\left|\begin{array}{ccc}
\sin \phi & \cos \phi & \sin 2 \phi \\
\sin (\phi+2 \pi / 3) & \cos (\phi+2 \pi / 3) & \sin (2 \phi+4 \pi / 3) \\
\sin (\phi-2 \pi / 3) & \cos (\phi-2 \pi / 3) & \sin (2 \phi-4 \pi / 3)
\end{array}\right|
\]
(a) is independent of \( \phi \)
(b) is equal to a constant
(c) has no local maximum
(d) has no local minimum
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