Target Mathematics

3.60: Trigonometric function gg (adjacent)

0606/12/O/N/23 — Question 2 · 5 marks

(a)
The function gg is defined by g(x)=54sin ⁣(32x)g(x)=5-4\sin\!\left(\dfrac{3}{2}x\right). Write down the amplitude of gg.
[1]
(b)
Write down the period of gg in degrees.
[1]
(c)
Sketch y=g(x)y=g(x) for 180x180-180^{\circ}\leqslant x\leqslant 180^{\circ}.
[3]