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Which one of the following pair of functions are identical?
P
(a) \( \mathrm{e}^{(\ln \mathrm{x}) / 2} \) and \( \sqrt{\mathrm{x}} \)
W)
(b) \( \tan ^{-1}(\tan x) \& \cot ^{-1}(\cot x) \)
(c) \( \cos ^{2} x+\sin ^{4} x \) and \( \sin ^{2} x+\cos ^{4} x \)
(d) \( \frac{|\mathrm{x}|}{\mathrm{x}} \) and \( \operatorname{sgn}(\mathrm{x}) \) where \( \operatorname{sgn}(\mathrm{x}) \) stands for signum function.
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