A cosine curve
A cosine curve
6 marks
TGM Original
Sketch y=3cos(2x)-1 for - pi <= x <= pi, with x measured in radians. Label endpoints and turning points. State the amplitude, period and range on this domain.
Solution:
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Answer:\(A=3\); \(T=\pi\); \(-4\le y\le 2\); \(\text{key points:}\hspace{0.5em}(- \pi,2),\ \left(- \dfrac{3 \pi}{4},-1\right),\ \left(- \dfrac{\pi}{2},-4\right),\ \left(- \dfrac{\pi}{4},-1\right),\ (0,2),\ \left(\dfrac{\pi}{4},-1\right),\ \left(\dfrac{\pi}{2},-4\right),\ \left(\dfrac{3 \pi}{4},-1\right),\ (\pi,2)\).
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