If \( f(x)=2 \tan 3 x+5 \sqrt{1-\cos 6 x} ; g(x) \) is a function \...

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If \( f(x)=2 \tan 3 x+5 \sqrt{1-\cos 6 x} ; g(x) \) is a function
\( \mathrm{P} \)
having the same fundamental period as that of \( f(x) \)
W
then which of the following can be \( g(x) \).
(1) \( \left(\sec ^{2} 3 x+\operatorname{cosec}^{2} 3 x\right) \tan ^{2} 3 x \)
(2) \( 2 \sin 3 x+3 \cos 3 x \)
(3) \( 2 \sqrt{1-\cos ^{2} 3 x}+\operatorname{cosec} 3 x \)
(4) \( 3 \operatorname{cosec} 3 x+2 \tan 3 x \)
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