Let \( \theta=\frac{\pi}{5} \) and \( A=\left[\begin{array}{cc}\cos...

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Let \( \theta=\frac{\pi}{5} \) and \( A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right] \). If \( \mathrm{B}=\mathrm{A}+\mathrm{A}^{4} \),
P then \( \operatorname{det}(2) \) :
[JEE Main-2020 (September)]
(a) lies in (2,3).
(b) is zero.
(c) is one.
(d) lies in \( (1,2) \)
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