Target Mathematics

1.21: Cosine graph: amplitude, period and sketch

0606/12/O/N/20 — Question 3 · 5 marks

(a)
Write down the amplitude of 2cosx312\cos\tfrac{x}{3} - 1.
[1]
(b)
Write down the period of 2cosx312\cos\tfrac{x}{3} - 1.
[1]
(c)
On the axes below, sketch the graph of y=2cosx31y = 2\cos\tfrac{x}{3} - 1 for πx3π-\pi \le x \le 3\pi radians.
[3]