Reflecting trigonometric outputs
Reflecting trigonometric outputs
5 marks
TGM Original
Sketch y=|2sin x-1| 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: \(\frac\pi6,\frac{5\pi}6\); maximum 3 at \(\frac{3\pi}2\); range \([0,3]\). Reflect \(\left[0,\dfrac{\pi}{6}\right)\cup\left(\dfrac{5\pi}{6},2\pi\right]\).
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