Target Mathematics

3.9: Amplitude, period and sketch of cosine

0606/12/F/M/24 — Question 1 · 5 marks

3.9 diagram
Given that y=2+4cos3θy = 2 + 4\,\mathrm{cos}\,3\theta for 120θ120-120^{\circ} \leqslant \theta \leqslant 120^{\circ},
(a)
write down the amplitude of yy.
[1]
(b)
write down the period of yy.
[1]
(c)
On the axes, sketch the graph of yy.
[3]