Simplify
[tex] \cos \theta\left[
\begin{array}{c c c}
\cos \theta& \sin \theta \\
& & \\
- \sin \theta & \cos \theta &
\end{array}
\right] + \sin \theta\left[
\begin{array}{c c c}
\sin \theta& - \cos\theta \\
& & \\
\cos\theta & \sin\theta &
\end{array}
\right] [/tex]
Answers
Answered by
42
Appropriate Question:-
Given Matrix :-
Solution :-
As & are out of matrix . So on , multiplying them with all elements of their respective matrixes , we have ;
Now as the order of both matrixes are same i.e 2 × 2 , so we can add their corresponding elements . On adding their corresponding elements we have ;
We knows a Trigonometric identity i.e ;
Using this we have ;
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