Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

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

MathematicsMediumsingle choice

For which a does ax²+ $sin^{- 1} (x^{2} - 2 x + 2) + cos^{- 1} (x^{2} - 2 x + 2) = 0$ have a real solution?

Answer:

Solution:

The inverse-function argument is (x-1)²+1, within [-1,1] only at x=1. The equation becomes a+ $π /2 = 0$ .

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

⏱ 2mℹ️ Source: QB

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