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