CBSE

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

If [1−tan⁡θtan⁡θ1][1tan⁡θ−tan⁡θ1]−1=[a−bba]\begin{bmatrix}1&-\tan\theta\\\tan\theta&1\end{bmatrix}\begin{bmatrix}1&\tan\theta\\-\tan\theta&1\end{bmatrix}^{-1}=\begin{bmatrix}a&-b\\b&a\end{bmatrix}, then: (a) a=b=1a=b=1 (b) a=cos⁡2θ, b=sin⁡2θa=\cos2\theta,\ b=\sin2\theta (c) a=sin⁡2θ, b=cos⁡2θa=\sin2\theta,\ b=\cos2\theta (d) a=1, b=sin⁡2θa=1,\ b=\sin2\theta

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