A cosine curve
A cosine curve
6 marks
TGM Original
Sketch y=4cos(13x)-2 for 0 <= x <= 6 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:\(A=4\); \(T=6 \pi\); \(-6\le y\le 2\); \(\text{key points:}\hspace{0.5em}(0,2),\ \left(\dfrac{3 \pi}{2},-2\right),\ (3 \pi,-6),\ \left(\dfrac{9 \pi}{2},-2\right),\ (6 \pi,2)\).
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