AP EAMCET · Maths · Matrices
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
- A \(-\sin 3 \theta, \cos 3 \theta\)
- B \(\sin 3 \theta,-\cos 3 \theta\)
- C \(-\sin 3 \theta, \sin 3 \theta\)
- D \(\sin 3 \theta,-\sin 3 \theta\)
Answer & Solution
Correct Answer
(D) \(\sin 3 \theta,-\sin 3 \theta\)
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