5
\includegraphics[max width=\textwidth, alt={}, center]{af7aeda9-2ded-4db4-9ff3-ed6adc67859f-07_778_878_255_630}
The diagram shows part of the graph of \(y = a \cos ( b x ) + c\).
- Find the values of the positive integers \(a , b\) and \(c\).
- For these values of \(a\), \(b\) and \(c\), use the given diagram to determine the number of solutions in the interval \(0 \leqslant x \leqslant 2 \pi\) for each of the following equations.
- \(a \cos ( b x ) + c = \frac { 6 } { \pi } x\)
- \(a \cos ( b x ) + c = 6 - \frac { 6 } { \pi } x\)
The diagram shows a metal plate \(A B C\) in which the sides are the straight line \(A B\) and the arcs \(A C\) and \(B C\). The line \(A B\) has length 6 cm . The arc \(A C\) is part of a circle with centre \(B\) and radius 6 cm , and the arc \(B C\) is part of a circle with centre \(A\) and radius 6 cm .