Frequency and a shifted cosine
Frequency and a shifted cosine
5 marks
TGM Original
Sketch y=|2cos2x+1| for 0 <= x <= pi. Label its zeros, maximum points and the central turning point. State the range and reflected interval.
Solution:
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Answer:Zeros \(\dfrac{\pi}{3},\dfrac{2\pi}{3}\); maxima \((0,3),(\pi,3)\); reflected central point \(\left(\dfrac{\pi}{2},1\right)\); reflect \(\dfrac{\pi}{3}<x<\dfrac{2\pi}{3}\); range \([0,3]\).
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