4.04: Cosine graph

0606/12/M/J/26 — Question 1 · 5 marks

The function is \(y=4\cos x-2\) for \(-360^\circ\leqslant x\leqslant360^\circ\).
(a)
Sketch the graph.
[2]
(b)
State the amplitude.
[1]
(c)
State the period.
[1]
(d)
Find the set of values of \(k\) for which \(4\cos x-2=k\) has at least two solutions in the interval.
[1]
Official diagram for Question 1