If $A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$ and…

If $A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$ and $A^3=\left[\begin{array}{cc}\cos 3 \theta & m \\ n & \cos 3 \theta\end{array}\right]$, the values of $m$ and $n$ respectively are
  1. $-\sin 3 \theta, \cos 3 \theta$
  2. $\sin 3 \theta,-\cos 3 \theta$
  3. $-\sin 3 \theta, \sin 3 \theta$
  4. $\sin 3 \theta,-\sin 3 \theta$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2020 (07 Oct Special)

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