evaluate sec^2(tan^-1 2)

We have, \sec^{2} (\tan^{- 1} 2) = 1 + \tan^{2} (\tan^{- 1} 2) = 1 + {[\tan (\tan^{- 1} 2)]}^{2} = 1 + {(2)}^{2} = 1 + 4 = 5

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