Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsT inverse T propertyMedium2 minQB

MathematicsMediumsingle choice

If $sin^{- 1} (sin 5) > x^{2} - 4 x$ , how many integral x work?

Answer:

Solution:

$sin^{- 1} (sin 5) = 5 - 2 π$ . The strict quadratic inequality $x^{2} - 4 x + 2 π - 5 < 0$ has integer solutions 1,2,3 only.

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

⏱ 2mℹ️ Source: QB

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