If \( \left[\begin{array}{cc}1 & -\tan \theta \\ \tan \theta & 1\en...

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If \( \left[\begin{array}{cc}1 & -\tan \theta \\ \tan \theta & 1\end{array}\right]\left[\begin{array}{cc}1 & \tan \theta \\ -\tan \theta & 1\end{array}\right]-1=\left[\begin{array}{cc}a & -b \\ b & a\end{array}\right] \), then
(a) \( a=1, b=1 \)
(b) \( a=\cos 2 \theta, b=\sin 2 \theta \)
(c) \( a=\sin 2 \theta, b=\cos 2 \theta \)
(d) none of these
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