\( \alpha, \beta \) and \( \gamma \) are three angles given by \( \alpha=2 \tan ^{-1}(\sqrt{2}-1...
\( \alpha, \beta \) and \( \gamma \) are three angles given by \( \alpha=2 \tan ^{-1}(\sqrt{2}-1), \beta=\sin ^{-1} \frac{1}{\sqrt{2}}+\sin ^{-1}\left(-\frac{1}{2}\right) \) and \( \gamma \cos ^{-1} \frac{1}{3} \). Then
(a) \( \alpha\beta \)
(b) \( \beta-\gamma \)
(c) \( \alpha\gamma \)
(d) none of these
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