1.

If \[C=2cos\theta ,\] then the value of the determinant\[\Delta =\left[ \begin{matrix}    C & 1 & 0  \\    1 & C & 1  \\    6 & 1 & C  \\ \end{matrix} \right]\] is

A. \[\frac{2{{\sin }^{2}}2\theta }{\sin \theta }\]      
B.        \[8{{\cos }^{3}}\theta -4\cos \theta +6\]
C. \[\frac{2\sin 2\theta }{\sin \theta }\]
D. \[8{{\cos }^{3}}\theta +4\cos \theta +6\]
Answer» C. \[\frac{2\sin 2\theta }{\sin \theta }\]


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