The diagram shows the graph of \(y=a\cos bx+c\), for \(-360^\circ\leq x\leq360^\circ\), where \(a\), \(b\) and \(c\) are constants. Find the values of \(a\), \(b\) and \(c\).[3]
The line \(y=p\) is a tangent to the curve \(y=3-2\sin6\theta\). Write down the possible values of \(p\).[2]
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Answer:(a) \(a=5,\ b=\dfrac34,\ c=-4\). (b) \(p=1\) or \(p=5\).