Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsT inverse T propertyMedium2 minQB

MathematicsMediumsingle choice

If x≥1, evaluate 2 $tan^{- 1} x + sin^{- 1} (2 x / (1 + x^{2}))$ .

Answer:

Solution:

For x≥1, 2 $tan^{- 1} x \in [π /2, π$ ), while $sin^{- 1} (sin (2 tan^{- 1} x)) = π - 2 tan^{- 1} x$ . The sum is π.

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:T inverse T property

⏱ 2mℹ️ Source: QB

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