If A = \(\left( {\begin{array}{*{20}{c}} {\cos \alpha}&{ - \sin \alpha}\\ {\sin \alpha}&{\cos \alpha} \end{array}} \right)\) and A + A' = I, then the value of α is

1
\(\frac{\pi }{6}\)
2
\(\frac{\pi }{3}\)
3
\(\pi \)
4
\(\frac{3\pi }{2}\)

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