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Question 2
2022 CHIJ SNGS AM S4 P1 Q3
The equation of a curve is $y=2\cos 2x+c$, where $c$ is a constant.
The graph passes through the point $\left( 30{}^\circ ,5 \right)$.
(a)
Find the value of $c$.
[2]
(b)
State the amplitude and period of $y$.
[3]
(c)
Sketch the graph of $y=2\cos 2x+c$ for $0{}^\circ \le x\le 360{}^\circ $.
[3]
(a)
(b)
(c)
