If the system of linear equations \[ \begin{array}{l} (\cos \theta) x+(\sin \theta) y+\cos \thet....

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If the system of linear equations
\[
\begin{array}{l}
(\cos \theta) x+(\sin \theta) y+\cos \theta=0 \\
(\sin \theta) x+(\cos \theta) y+\sin \theta=0 \\
(\cos \theta) x+(\sin \theta) y-\cos \theta=0
\end{array}
\]
\( \mathrm{P} \)
W
is consistent, then find the number of possible value of \( \theta \) is .(where \( \theta \in[0,2 \pi] \) )


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