Target Mathematics

1.24: Sine graph sketch and modulus range

0606/13/M/J/17 — Question 3 · 4 marks

(i)
On the axes below, sketch the graph of y=3sin⁡x−2y = 3\sin x - 2 for 0∘≤x≤360∘0^{\circ} \le x \le 360^{\circ}.
[3]
(ii)
Given that 0≤∣3sin⁡x−2∣≤k0 \le |3\sin x - 2| \le k for 0∘≤x≤360∘0^{\circ} \le x \le 360^{\circ}, write down the value of kk.
[1]