Match the Columns
Match List I with List II and select the correct answer
\( \mathrm{P} \) using the code given below the lists.
W
\begin{tabular}{cc}
\hline List I & List II \\
P. \( \left[\frac{1}{y^{2}}\left\{\frac{\cos \left(\tan ^{-1} y\right)+y \sin \left(\tan ^{-1} y\right)}{\cot \left(\sin ^{-1} y\right)+\tan \left(\sin ^{-1} y\right)}\right\}^{2}+y^{4}\right]^{1 / 2} \) takes value & 1. \( \frac{1}{2} \sqrt{\frac{5}{3}} \)
\end{tabular}
Q. If \( \cos x+\cos y+\cos z=0=\sin x+\sin y+\sin z \), then \( 2 . \sqrt{2} \) possible value of \( \cos \frac{x-y}{2} \) is
R. If \( \cos \left(\frac{\pi}{4}-x\right) \cos 2 x+\sin x \sin 2 x \sec x \)
3. \( \frac{1}{2} \) \( =\cos x \sin 2 x \sec x+\cos \left(\frac{\pi}{4}+x\right) \cos 2 x \), then possible value of \( \sec x \) is
S. If \( \cot \left(\sin ^{-1} \sqrt{1-x^{2}}\right)=\sin \left[\tan ^{-1}(x \sqrt{6})\right] \),
4. 1 \( x=0 \). Then, possible value of \( x \) is
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