The domain of the function \( f(x)=\frac{1}{\sqrt{\sin x}}+3 \sqrt{\sin x} \) is....

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The domain of the function \( f(x)=\frac{1}{\sqrt{\sin x}}+3 \sqrt{\sin x} \)
\( \mathrm{P} \)
is
(1) \( [0, \pi] \)
(2) \( \bigcup_{k \in I}[2 k \pi,(2 k+1) \pi] \)
(3) \( \bigcup_{k \in I}(2 k \pi,(2 k+1) \pi) \)
(4) \( \bigcup_{k \in N}[2 k \pi,(2 k+1) \pi] \)


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