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Q. Domain of $cos^{-1}\, [x]$ is

Inverse Trigonometric Functions

Solution:

$0 \le cos^{-1} \left[x\right] \le \pi$
$-1 \le \left[x\right] \le 1$
$\Rightarrow -1 \le x < 2$
$\Rightarrow x \in [-1$, $2)$