The domain of $f(x)=\sqrt{\log\frac{1}{|\sin x|}}$ is
Answer & explanation
Correct answer: option 3
$\log\frac{1}{|\sin x|}≥0$ and $|\sin x|≠0$
$\frac{1}{|\sin x|}≥1$ and $x≠nπ$, where n ∈ Z
$|\sin x|≤1$ and $x≠nπ$, where n ∈ Z
⇒ Domain = $R −\{x : x = nπ, n∈Z\}$