(i) Sketch the graph of the curve \(y = 3 \sin x\), for \(-\pi \leq x \leq \pi\).

The straight line \(y = kx\), where \(k\) is a constant, passes through the maximum point of this curve for \(-\pi \leq x \leq \pi\).

(ii) Find the value of \(k\) in terms of \(\pi\).

(iii) State the coordinates of the other point, apart from the origin, where the line and the curve intersect.