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Question: Answered & Verified by Expert
The function $\mathrm{f}(\mathrm{x})=\sec \left[\log \left(\mathrm{x}+\sqrt{1+\mathrm{x}^2}\right)\right]$ is
MathematicsFunctionsWBJEEWBJEE 2010
Options:
  • A odd
  • B even
  • C neither odd nor even
  • D constant
Solution:
2502 Upvotes Verified Answer
The correct answer is: even
Hints : $\mathrm{f}(\mathrm{x})=\sec \left(\ell \ln \left(\mathrm{x}+\sqrt{1+\mathrm{x}^2}\right)\right)=\sec ($ odd function $)=$ even function
$\because$ sec is an even function

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