Reflecting trigonometric outputs
Reflecting trigonometric outputs
5 marks
TGM Original
Sketch y=|2cos 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: \(\frac\pi3,\frac{5\pi}3\); maximum 3 at \(\pi\); range \([0,3]\). Reflect \(\dfrac{\pi}{3}<x<\dfrac{5\pi}{3}\).
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