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If alpha=2tan^(- 1)(sqrt(3-2sqrt(2)))+si...

If `alpha=2tan^(- 1)(sqrt(3-2sqrt(2)))+sin^(- 1)(1/(sqrt(6)-sqrt(2))),beta=cot^-1(sqrt3-2)+1/8sec^-1(-2)` and `gamma =tan^-1 (1/sqrt2)+cos^-1 (1/sqrt3)`, then

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