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  4. Domain of cos -1[x] is, where [ . ] denotes a greatest integer function

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Q. Domain of $\cos ^{-1}[x]$ is, where $[ . ]$ denotes a greatest integer function

KCETKCET 2022Inverse Trigonometric Functions

Solution:

$\cos ^{-1}[x]$
$-1 \leq[x] \leq 1 $
$\Rightarrow[x]=\{-1,0,1\}$
$x \in[-1,2)$