Let `A=[{:(,sin theta,1sqrt2),(,-1//sqrt2,cos theta),(,cos theta,tan theta):}]& B=[{:(,1sqrt2,sin theta),(,cos theta,cos theta),(,cos theta,-1):}]`. Find theta so that A=B

Explanation

To find the value of \( \theta \) such that the matrices \( A \) and \( B \) are equal, we will equate their corresponding elements.

Given:
\[
A = \begin{pmatrix}
\sin \theta & \frac{1}{\sqrt{2}} \\
-\frac{1}{\sqrt{2}} & \cos \theta \\
\cos \theta & \tan \theta
...