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  4. Number of integers in the domain of f(x)=√π-2 sin -1 x is /are

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Q. Number of integers in the domain of $f(x)=\sqrt{\pi-2 \sin ^{-1} x}$ is /are

Inverse Trigonometric Functions

Solution:

$\pi-2 \sin ^{-1} x \geq 0$
$\sin ^{-1} x \leq \frac{\pi}{2}$, which is true $\forall x \in[-1,1]$