If f tan ⁡ x = cos ⁡ 2 x , x ≠ ( 2 n + 1 ) π 2 , n ∈ I then incorrect statement is

Question

If f tan ⁡ x = cos ⁡ 2 x , x ≠ ( 2 n + 1 ) π 2 , n ∈ I then incorrect statement is, f x is an even function, f x is an odd function, Range of f x is − 1 , 1, Domain of f x is x ∈ R

MARKS App · Accepted Answer

∵ 1 − tan 2 x 1 + tan 2 x = cos 2 x Let, tan x = t ∴ f t = 1 − t 2 1 + t 2 ∴ f x = 1 − x 2 1 + x 2

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