A cosine curve
A cosine curve
6 marks
TGM Original
Sketch \(y=\cos\left(- \dfrac{3}{2}x\right)+3\) for \(-120^\circ\le x\le 120^\circ\), with \(x\) measured in degrees. Label endpoints and turning points. State the amplitude, period and range on this domain.[6]
Solution:
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Answer:\(A=1\); \(T=240^\circ\); \(2\le y\le 4\); \(\text{key points:}\hspace{0.5em}(-120,2),\ (-60,3),\ (0,4),\ (60,3),\ (120,2)\).
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