JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

Let

f(x)=x^2

and

g(x)=\sin x

, for all

x \in R

. Then, the set of all

x

satisfying

(fogogof) (x)=({gog} o f)(x)

, where

(fog)(x)=f[g(x)]

, is

View answer and explanation

Correct option: A

\pm \sqrt{n \pi}, n \in\{0,1,2, \ldots\}

Option A (

\pm \sqrt{n \pi}, n \in{{0,1,2, \ldots}}

) is correct because it represents the set of all x values that satisfy the given functional equation after simplification and solving for x.

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