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\( \mathrm{A}=\left[\begin{array}{cc}1 & \tan \mathrm{x} \\ -\tan \mathrm{x} & 1\end{array}\right] \) then let us define a function \( f(\mathrm{x})=\operatorname{det} .\left(\mathrm{A}^{\mathrm{T}} \mathrm{A}^{-1}\right) \) then which of the following can not be the value of \( \underbrace{\mathrm{f}(\mathrm{f}(\mathrm{f}(\mathrm{f} \ldots \ldots \ldots \ldots \mathrm{f}(\mathrm{x}))))}_{\mathrm{n} \text { times }} \) is \( (\mathrm{n} \geq 2) \)
(A) \( f^{\mathrm{n}}(\mathrm{x}) \)
(B) 1
(C) \( f^{\mathrm{n}-1}(\mathrm{x}) \)
(D) \( \mathrm{n} f(\mathrm{x}) \)
\( \mathrm{P} \)
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