prove that : $\tan^{-1} \bigg[ \large\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}} \bigg]$$= \large\frac{\pi}{4}$$- \large\frac{1}{2}$$\cos^{-1}x , \large\frac{-1}{\sqrt 2}$$\leq x \leq 1$

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