The diagram shows part of the graphs of the curves \(y=\sin 2x\) and \(y=\sin x\).

\(A\) is a maximum point of the curve \(y=\sin 2x\). \(B\) is a maximum point of the curve \(y=\sin x\).

\(C\) is the point of intersection of the curves shown. Find

- the \(x\) co-ordinate of \(C\),
- the shaded area.