If the domain of the function f(x)= sec ⁻¹((2 x)/(5 x+3)) is [α, β) U(γ, δ], then |3 α+10(β+γ)+21 δ| is equal to _ _ _ _ _.

Trigonometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 10 Apr, Evening shift · Q36

JEE Main 202310 Apr, Evening shiftMathematicsMediumTrigonometry118× since 2002

If the domain of the function

f(x)=\sec ^{-1}\left(\frac{2 x}{5 x+3}\right)

[\alpha, \beta) \mathrm{U}(\gamma, \delta]

, then

|3 \alpha+10(\beta+\gamma)+21 \delta|

is equal to _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Trigonometry Question with Answer (10 Apr Evening shift, Q36) | JEE Arc