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Q.The function f(x)=tan⁡−1(1+x2−1)f(x) = \tan^{-1} (\sqrt{1+x^2} - 1) simplifies to

a
12tan⁡−1x\dfrac{1}{2} \tan^{-1} x
b
tan⁡−1x\tan^{-1} x
c
12sin⁡−1x\dfrac{1}{2} \sin^{-1} x
d
sin⁡−1x\sin^{-1} x

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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