The solution of the equation \[\left| \,\begin{matrix} \cos \theta & \sin \theta & \cos \theta \\ -\sin \theta & \cos \theta & \sin \theta \\ -\cos \theta & -\sin \theta & \cos \theta \\ \end{matrix}\, \right|=0\], is [AMU 2002]

\[\theta =n\pi \pm {{(-1)}^{n}}\frac{\pi }{4}\]

\[\theta =2n\pi \pm \frac{\pi }{2}\]

\[\theta =2n\pi \pm \frac{\pi }{4}\]

The solution of the equation \[\left| \,\begin{matrix} \cos \theta &

1.	The solution of the equation \[\left\| \,\begin{matrix} \cos \theta & \sin \theta & \cos \theta \\ -\sin \theta & \cos \theta & \sin \theta \\ -\cos \theta & -\sin \theta & \cos \theta \\ \end{matrix}\, \right\|=0\], is [AMU 2002]
A.	\[\theta =n\pi \]
B.	\[\theta =2n\pi \pm \frac{\pi }{2}\]
C.	\[\theta =n\pi \pm {{(-1)}^{n}}\frac{\pi }{4}\]
D.	\[\theta =2n\pi \pm \frac{\pi }{4}\]
Answer» C. \[\theta =n\pi \pm {{(-1)}^{n}}\frac{\pi }{4}\]

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The solution of the equation \[\left| \,\begin{matrix} \cos \theta & \sin \theta & \cos \theta \\ -\sin \theta & \cos \theta & \sin \theta \\ -\cos \theta & -\sin \theta & \cos \theta \\ \end{matrix}\, \right|=0\], is [AMU 2002]

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