Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsGeneral ( General, Domain, Range & Graph)Medium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

Let $f (x) = sin^{- 1} ([(x - 1) / (2 - x)])$ , where $⌊ \cdot ⌋$ denotes the floor function and $x \neq = 2$ .

What is the range of f?

Answer:

Solution:

On $x < 5/3$ , the floor of $(x - 1) / (2 - x)$ attains -1, 0 and 1. Their principal arcsines are $- π /2, 0$ and $π /2$ .

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:General ( General, Domain, Range & Graph)

⏱ 2mℹ️ Source: QB

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