Answer the following by appropriately matching the lists based on the information given in the paragraph
Let $f(\mathrm{x})=\sin (\pi \cos \mathrm{x})$ and $\mathrm{g}(\mathrm{x})=\cos (2 \pi \sin \mathrm{x})$ be two functions defined for $\mathrm{x}>0$. Define the following sets whose elements are written in the increasing order :
$$
\begin{array}{ll}
\mathrm{X}=\{\mathrm{x}: f(\mathrm{x})=0\}, & \mathrm{Y}=\left\{\mathrm{x}: f^{\prime}(\mathrm{x})=0\right\} \\
\mathrm{Z}=\{\mathrm{x}: \mathrm{g}(\mathrm{x})=0\}, & \mathrm{W}=\left\{\mathrm{x}: \mathrm{g}^{\prime}(\mathrm{x})=0\right\} .
\end{array}
$$
List-I contains the sets X,Y,Z and W. List -II contains some information regarding these sets.
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