Reflecting trigonometric outputs
Reflecting trigonometric outputs
5 marks
TGM Original
Sketch y=|sin x+2| for 0 <= x <= 2pi, labelling zeros, endpoint heights and maximum points. State its range and the reflected portions.
Solution:
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Answer:Zeros: none; maximum 3 at \(\frac\pi2\); range \([1,3]\). No reflection because \(1\le\sin x+2\le3\).
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