Prove that tan−1(√1+x2+√1−x2√1+x2−√1−x2)=π4+12cos−1 – InterviewSolution

1.	Prove that tan−1(√1+x2+√1−x2√1+x2−√1−x2)=π4+12cos−1 x2.
Answer» Prove that $t a n^{- 1} (\frac{\sqrt{1 + x^{2}} + \sqrt{1 - x^{2}}}{\sqrt{1 + x^{2}} - \sqrt{1 - x^{2}}}) = \frac{π}{4} + \frac{1}{2} c o s^{- 1} x^{2} .$

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