GATE (TF) Textile 2008 Question Paper Solution | GATE/2008/TF/03

The inverse of the matrix $\begin{pmatrix}cos\theta & -sin\theta\\ sin\theta & cos\theta\end{pmatrix}$ is

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(A)	$\begin{pmatrix}-cos\theta & -sin\theta\\ -sin\theta & cos\theta\end{pmatrix}$
(B)	$\begin{pmatrix}cos\theta & sin\theta\\ -sin\theta & cos\theta\end{pmatrix}$
(C)	$\begin{pmatrix}sin\theta & cos\theta\\ -sin\theta & -cos\theta\end{pmatrix}$
(D)	$\begin{pmatrix}-cos\theta & sin\theta\\ sin\theta & cos\theta\end{pmatrix}$