A sine curve

A sine curve

6 marks
TGM Original
Sketch y=2sin(12x)+1 for 0 <= x <= 4 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:\(A=2\); \(T=4 \pi\); \(-1\le y\le 3\); \(\text{key points:}\hspace{0.5em}(0,1),\ (\pi,3),\ (2 \pi,1),\ (3 \pi,-1),\ (4 \pi,1)\).

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