JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Analyzing +4 | -1

f(x)=\sin 2 x+\sin ^2\left(x+\frac{\pi}{3}\right)+\cos x \cos \left(x+\frac{\pi}{3}\right)

and

g\left(\frac{5}{4}\right)=1

, then

(g o f)(x)

is equal to:

View answer and explanation

Correct option: B

Option B (1) is correct because simplifying the expression for f(x) results in a constant value of 5/4, and since g(5/4) = 1, (g o f)(x) = 1.

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