If A=(x ∈R/ 4 x 3) and f (x )= sin ⁡x-x, then f (A ) is equal to

Question

Accepted Answer

Correct answer: A. (a) Given, f (x )= sin ⁡x-x Here, 4 x 3 f ( 4 ) f (x ) f ( 3 ) ( ∵f (x ) ) is decreasing function in (x ∈ ( 4 , 3 ) ) sin ⁡ 4- 4 f (x ) sin ⁡ 3- 3 1 2- 4 f (x ) 32- 3 ∴ f (A ) ∈( 32- 3 1 2- 4)

$If A = (x \in R / \frac{π}{4} \leq x \leq \frac{π}{3}) and f (x) = sin x - x, then f (A) is equal to$

Solution

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