Target Mathematics

3.63: Sine graph: period and constants

0606/11/O/N/21 — Question 1 · 4 marks

3.63 diagram
The diagram shows the graph of y=asinbx+cy = a\,\mathrm{sin}\,bx + c for 360x360-360^{\circ} \leqslant x \leqslant 360^{\circ}, where aa, bb and cc are integers.
(a)
Write down the period of asinbx+ca\,\mathrm{sin}\,bx + c.
[1]
(b)
Find the value of aa, of bb and of cc.
[3]