The domain of the function \[f(x)=\sqrt{\log \frac{1}{|\sin x|}}\] is [RPET 2001]

The domain of the function \[f(x)=\sqrt{\log \frac{1}{|\sin x|}}\] is

1.	The domain of the function \[f(x)=\sqrt{\log \frac{1}{\|\sin x\|}}\] is [RPET 2001]
A.	\[R-\{2n\pi ,\ n\in I\}\]
B.	\[R-\{n\pi ,\ n\in I\}\]
C.	\[R-\{-\pi ,\ \pi \}\]
D.	\[(-\infty ,\ \infty )\]
Answer» C. \[R-\{-\pi ,\ \pi \}\]

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The domain of the function \[f(x)=\sqrt{\log \frac{1}{|\sin x|}}\] is [RPET 2001]

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