Target Mathematics

3.38: Cosine graph and sine tangent values

0606/11/M/J/24 — Question 5 · 5 marks

3.38 diagram
(a)
The diagram shows y=acosbx+cy = a\,\mathrm{cos}\,bx + c for 360x360-360^{\circ} \leqslant x \leqslant 360^{\circ}. Find aa, bb and cc.
[3]
(b)
The line y=py = p is a tangent to y=32sin6θy = 3 - 2\,\mathrm{sin}\,6\theta. Write down the possible values of pp.
[2]