Answer the following by appropriately matching the lists based on the information given in the p....

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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 :
\(X=\{x: f(x)=0\}, Y=\left\{x: f^{\prime}(x)=0\right\}, Z=\{x: g(x)=0\}\), \(W=\left\{x: g^{\prime}(x)=0\right\}\),
List-I contains the sets \(X, Y, Z\) and \(W\). List - II contains some information regarding these sets.
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