Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Which one of the following pair of functions are NOT identical ?
A
e ( nx)/2 and 
B
tan (tanx) and cot (cotx)
C
cos 2 x + sin 4 x and sin 2 x + cos 4 x
D
and sgn (x), where sgn(x) stands for signum function.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,d)
f(x) = e 1/2 n x = 
, D : x > 0
g(x) = 
, D : x ≥ 0
tan (tan x) D : x ≠ ± (2n +1) 
& tan x ≠ ± (2n +1) 
cot (cot x) D : x ≠ ± n π & cot x ≠ ± n π
f(x) = cos 2 x + sin 4 x = cos 2 x + (1 – cos 2 x) 2 = 1 – cos 2 x + cos 4 x = sin 2 x + cos 4 x
g(x) = sin 2 x + cos 4 x
f(x) = 
, D : x ≠ 0 ⇒ g(x) = sgn (x), D : x ∈ R
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