The diagram shows part of the graph of \(y = a \cos(bx) + c\).

(a) Find the values of the positive integers \(a\), \(b\) and \(c\).

(b) For these values of \(a\), \(b\) and \(c\), use the given diagram to determine the number of solutions in the interval \(0 \leq x \leq 2\pi\) for each of the following equations.

(i) \(a \cos(bx) + c = \frac{6}{\pi} x\)

(ii) \(a \cos(bx) + c = 6 - \frac{6}{\pi} x\)