Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

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

MathematicsMediumnumerical

Passage / Comprehension

Let $z = sec^{- 1} (x + 1/ x) + sec^{- 1} (y + 1/ y)$ , where $x y < 0$

If its range is $(a, b)$ , find $b / a$ .

Answer:

1.40

Solution:

$z \in (5 π /6, 7 π /6)$ , hence $b / a = 7/5 = 1.4$ .

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

⏱ 2mℹ️ Source: QB

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