Target Mathematics

3.107: Amplitude and period of cosine

0606/11/O/N/25 — Question 1 · 5 marks

(a)
Write down the amplitude and period of y=3cosx21y=3\,\mathrm{cos}\dfrac{x}{2}-1.
[2]
(b)
Sketch the graph of y=3cosx21y=3\,\mathrm{cos}\dfrac{x}{2}-1 for 0x3600^{\circ}\leqslant x\leqslant 360^{\circ}.
[3]