Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

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

MathematicsMediummultiple choice

If $α$ is real and $f (α) = ln (cos^{- 1} α)$ is defined, which values can the floor $[α]$ take?

Answer:

A, C

Solution:

For the logarithm to be real, $cos^{- 1} α$ must be positive and defined: $- 1 \leq α < 1$ . Therefore $[α]$ is -1 or 0 .

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

⏱ 2mℹ️ Source: QB

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