Reflecting trigonometric outputs
Reflecting trigonometric outputs
5 marks
TGM Original
Sketch y=|sin 2x| for 0 <= x <= pi, labelling zeros, endpoint heights and maximum points. State its range and the reflected portions.
Solution:
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Answer:Zeros: \(0,\frac\pi2,\pi\); maximum 1 at \(\frac\pi4,\frac{3\pi}4\); range \([0,1]\). Reflect \(\dfrac{\pi}{2}<x<\pi\).
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