If $C = 2\cos \theta $, then the value of the determinant $\Delta = \left| {\,\begin{array}{*{20}{c}}C&1&0\\1&C&1\\6&1&C\end{array}\,} \right|$ is
If $C = 2\cos \theta $, then the value of the determinant $\Delta = \left| {\,\begin{array}{*{20}{c}}C&1&0\\1&C&1\\6&1&C\end{array}\,} \right|$ is
- A
$\frac{{\sin 4\theta }}{{\sin \theta }}$
- B
$\frac{{2{{\sin }^2}2\theta }}{{\sin \theta }}$
- C
$4{\cos ^2}\theta \,(2\cos \theta - 1)$
- D
None of these
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