Target Mathematics

2.25: Sketch, period and amplitude of sine graph

0606/23/M/J/19 — Question 4 · 5 marks

(i)
The function ff is defined, for 0°x360°0^{\degree} \le x \le 360^{\degree}, by f(x)=4+3sin2xf(x) = 4 + 3\sin 2x. Sketch the graph of y=f(x)y = f(x) on the axes below.
[3]
(ii)
State the period of ff.
[1]
(iii)
State the amplitude of ff.
[1]