The domain of $f(x)=\sqrt{\log\frac{1}{|\sin x|}}$ is

$R$ $R −\{− π, π\}$ $R −\{x : x = nπ, n∈Z\}$ none of these

$R −\{x : x = nπ, n∈Z\}$

$\log\frac{1}{|\sin x|}≥0$ 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 = $R −\{x : x = nπ, n∈Z\}$