4.07: Cosine function and graph

0606/21/M/J/26 — Question 2 · 7 marks

The function is \(y=4\cos(x/8)+2\), with \(x\) in degrees.
(a)
State the amplitude.
[1]
(b)
State the period in degrees.
[1]
(c)
Solve \(4\cos(x/8)+2=0\) for \(-1080^\circ\leqslant x\leqslant1080^\circ\).
[3]
(d)
Sketch the graph on the given interval.
[2]
Official diagram for Question 2