The value of \( 2 \tan ^{-1} \frac{\sqrt{1+x^{2}}-1}{x} \) is equal to (a) \( \cot ^{-1} x \) (b...

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The value of \( 2 \tan ^{-1} \frac{\sqrt{1+x^{2}}-1}{x} \) is equal to
(a) \( \cot ^{-1} x \)
(b) \( \sec ^{-1} x \)
(c) \( \tan ^{-1} x \)
(d) none of these
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