Let be given by f(x) = (log(sec x + tan x)) 3 . Then

Maths JEE - Advanced Previous Year Paper JEE-Advanced-2014-Paper-1 Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

f (x) is an odd function

f is a one-one function

f (x) is an onto function

f (x) is an even function

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(a,b,c)f (x) = (log (sec x + tan x))3

f (- x) = - f (x), hence f (x) is odd function

Let g (x) = sec x + tan x

g ’ (x) is one-one function

Hence (loge(g(x))) 3 is one-one function.

and

. Hence f (x) is an onto function.

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