The simplest form of tan-1\([\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}]\) is :[(√(1+x)-√(1-x))/(√(1+x)+√(1-x))](a) \(\frac{\pi}{4}-\frac{x}{2}\)(b) \(\frac{\pi}{4}+\frac{x}{2}\)(c) \(\frac{\pi}{4}-\frac{1}{2}cos^{-1}x\) (d) \(\frac{\pi}{4}+\frac{1}{2}cos^{-1}x\)

The simplest form of tan-1\([\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\

1.	The simplest form of tan-1\([\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}]\) is :[(√(1+x)-√(1-x))/(√(1+x)+√(1-x))](a) \(\frac{\pi}{4}-\frac{x}{2}\)(b) \(\frac{\pi}{4}+\frac{x}{2}\)(c) \(\frac{\pi}{4}-\frac{1}{2}cos^{-1}x\) (d) \(\frac{\pi}{4}+\frac{1}{2}cos^{-1}x\)
Answer» Option : (c) \(\frac{\pi}{4}-\frac{1}{2}cos^{-1}x\)

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The simplest form of tan-1\([\frac{\sqrt{1+x}-\sqrt{1-x}}{\sqrt{1+x}+\sqrt{1-x}}]\) is :[(√(1+x)-√(1-x))/(√(1+x)+√(1-x))](a) \(\frac{\pi}{4}-\frac{x}{2}\)(b) \(\frac{\pi}{4}+\frac{x}{2}\)(c) \(\frac{\pi}{4}-\frac{1}{2}cos^{-1}x\) (d) \(\frac{\pi}{4}+\frac{1}{2}cos^{-1}x\)

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