Prove that: tan−1[√1+x−√1−x√1+x+√1−x]=π4−12cos−1x – InterviewSolution

1.	Prove that: tan−1[√1+x−√1−x√1+x+√1−x]=π4−12cos−1x,−1√2≤x≤1
Answer» Prove that: $t a n^{- 1} [\frac{\sqrt{1 + x} - \sqrt{1 - x}}{\sqrt{1 + x} + \sqrt{1 - x}}] = \frac{π}{4} - \frac{1}{2} c o s^{- 1} x, \frac{- 1}{\sqrt{2}} \leq x \leq 1$

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