2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a8e9db6b-dfad-4278-82d8-a8fa5ba61008-04_904_826_255_623}
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\caption{Figure 1}
\end{figure}
Figure 1 shows the curve defined by the equation
$$y ^ { 2 } + 3 y - 6 \sin y = 4 - x ^ { 2 }$$
The point \(P ( x , y )\) lies on the curve．
The distance from the origin，\(O\) ，to \(P\) is \(D\) ．
（a）Write down an equation for \(D ^ { 2 }\) in terms of \(y\) only．
（b）Hence determine the minimum value of \(D\) giving your answer in simplest form．
\includegraphics[max width=\textwidth, alt={}, center]{a8e9db6b-dfad-4278-82d8-a8fa5ba61008-04_2266_53_312_1977}