If \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} {\cos {\rm{\theta }}}\\ {\sin {\rm{\theta }}} \end{array}{\rm{\;}}\begin{array}{*{20}{c}} { - \sin {\rm{\theta }}}\\ {\cos {\rm{\theta }}} \end{array}} \right],\) and and A + AT = I, then θ is equal to:
1
\(2n\pi \pm \frac{\pi }{2},nI\)
2
\(2n\pi \pm 4\frac{\pi }{3},nI\)
3
\(2n\pi \pm 2\frac{\pi }{3},nI\)
4
\(2n\pi \pm \frac{\pi }{3},nI\)