Target Mathematics

3.34: Cosine: sketch, amplitude, period

0606/21/M/J/23 — Question 2 · 5 marks

The function gg is defined for 0x1200^{\circ} \leqslant x \leqslant 120^{\circ} by g(x)=2+4cos3xg(x) = 2 + 4\,\mathrm{cos}\,3x.
(a)
On the axes, sketch the graph of y=g(x)y = g(x).
[3]
(b)
State the amplitude of gg.
[1]
(c)
State the period of gg.
[1]