Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

MathematicsInverse Trigonometric FunctionsProperties of ITFMedium2 minQB

MathematicsMediumsingle choice

For which listed set of a does $sin^{- 1} (∣ cos x ∣) - cos^{- 1} (∣ sin x ∣) = a$ have at least one real solution?

Answer:

Solution:

For every x, |cos x| and |sin x| are nonnegative, so $cos^{- 1} (∣ sin x ∣) = sin^{- 1} (∣ cos x ∣)$ . The expression is identically zero.

Stream:JEESubject:MathematicsTopic:Inverse Trigonometric FunctionsSubtopic:Properties of ITF

⏱ 2mℹ️ Source: QB

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