Let \( A=\left(\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin ...
Let \( A=\left(\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array}\right),(a \in R) \) such that \( A^{32}= \)
\( \mathrm{P} \) \( \left(\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right) \). Then a value of \( \alpha \) is.
[JEE Main -2019 (April)]
(a) \( \frac{\pi}{16} \)
(b) 0
(c) \( \frac{\pi}{32} \)
(d) \( \frac{\pi}{64} \)
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