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