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Q. The function $f\left(x\right) = \sec \left[\log\left(x+\sqrt{1+x^{2}}\right)\right]$ is

WBJEEWBJEE 2010

Solution:

$f(x)=\sec \left(\ln \left(x+\sqrt{1+x^{2}}\right)\right) $
$=\sec x$ (odd function)
$=$ even function
$\because \sec x$ is an even function.