Target Mathematics

3.20: Cosine: amplitude, period and sketch

0606/22/M/J/21 — Question 5 · 5 marks

The function ff is defined, for 0x8100^{\circ} \leqslant x \leqslant 810^{\circ}, by f(x)=cos2x3f(x) = -\mathrm{cos}\dfrac{2x}{3}.
(a)
Write down the amplitude of ff.
[1]
(b)
Find the period of ff.
[2]
(c)
On the axes, sketch the graph of y=f(x)y = f(x).
[2]