A sine curve over one cycle
A sine curve over one cycle
6 marks
TGM Original
Sketch y=2sin(x2)+1 for 0 <= x 4pi, labelling its endpoints and turning points. State its amplitude, period and range. Explain how it is obtained from y=sin x.
Solution:
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Answer:Amplitude \(2\); period \(4\pi\); range \([-1,3]\); maximum \((\pi,3)\), minimum \((3\pi,-1)\), endpoints \((0,1),(4\pi,1)\).
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