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