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Prove that tan^(-1).(1)/(sqrt(x^(2) -1))...

Prove that `tan^(-1).(1)/(sqrt(x^(2) -1)) = (pi)/(2) - sec^(-1) x, x gt 1`

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To prove that \[ \tan^{-1}\left(\frac{1}{\sqrt{x^2 - 1}}\right) = \frac{\pi}{2} - \sec^{-1}(x), \quad x > 1 \] we will follow these steps: ...
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