Target Mathematics

1.8: Amplitude, period and sketch of a cosine graph

0606/11/O/N/20 — Question 2 · 5 marks

1.8 diagram
(a)
Write down the amplitude of 1+4cos⁡x31 + 4\cos\tfrac{x}{3}.
[1]
(b)
Write down the period of 1+4cos⁡x31 + 4\cos\tfrac{x}{3}.
[1]
(c)
On the axes below, sketch the graph of y=1+4cos⁡x3y = 1 + 4\cos\tfrac{x}{3} for −180°≤x≤180°-180^{\degree} \le x \le 180^{\degree}.
[3]