Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsT inverse T propertyMedium2 minQB

MathematicsMediumsingle choice

Evaluate $sin (cot^{- 1} (cos (tan^{- 1} x)))$ .

Answer:

Solution:

$cos (tan^{- 1} x) = 1/ 1 + x^{2} > 0$ . With t= $cot^{- 1} (1/ 1 + x^{2})$ , sin t=1/ $1 + 1/ (1 + x^{2}) = (1 + x^{2}) / (2 + x^{2})$ .

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

⏱ 2mℹ️ Source: QB

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