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  4. Domain of cos -1[ x ] is

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

Inverse Trigonometric Functions

Solution:

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