Let \( \Delta=\left|\begin{array}{ccc}\sin \theta \cos \phi & \sin \theta \sin \phi & \cos \thet...

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Let \( \Delta=\left|\begin{array}{ccc}\sin \theta \cos \phi & \sin \theta \sin \phi & \cos \theta \\ \cos \theta \cos \phi & \cos \theta \sin \phi & -\sin \theta \\ -\sin \theta \sin \phi & \sin \theta \cos \phi & 0\end{array}\right| \), then
P
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(1) \( \Delta \) is independent of \( \theta \)
(2) \( \Delta \) is indepedent of \( \phi \)
(3) \( \Delta \) is a constant
(4) \( \Delta \) is dependent of \( \phi \)
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