Match the equations given under List I with their respective numbers of solutions given under Li....
Match the equations given under List I with their respective numbers of solutions given under List II.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ List I } & \multicolumn{2}{|c|}{ List II } \\
\hline (A) & \( \sqrt{\sin x}=\cos x ; x \in[0,2 \pi] \) & (i) & 0 \\
\hline (B) & \( \tan x=\sec x ; x \in[0,2 \pi] \) & (ii) & 1 \\
\hline (C) & \( \left. \)\begin{tabular}{ccc}
1 & 1 & 1 \\
1 & \( 1+\sin \theta \) & 1 \\
1 & 1 & \( 1+\cot \theta \)
\end{tabular} \right\rvert\,\( =0 ; \theta \in[0,4 \pi] \) & & \\
\hline (D) & \( \sin ^{3} x+\sin ^{2} x+\sin x-\sin x \sin 2 x-\sin 2 x \) & (iv) & 4 \\
& \( -2 \cos x=0 ; \mathrm{x} \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \) & & \\
\hline
\end{tabular}
(1) (A)-(iii), (B)-(iv), (C)-(i), (D)-(ii)
(2) (A)-(ii), (B)-(iii), (C)-(iv), (D)-( i)
(3) (A)-(ii), (B)-(i), (C)-(iv), (D)-(ii)
(4) (A)-(iv), (B)-(i), (C)-(ii), (D)-(iii)
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