Reflected sine and tangent

Reflected sine and tangent

5 marks

TGM Original

Sketch y=|2sin x-1| for 0 <= x 2pi, marking zeros and the maximum value. State the vertical asymptotes of y=|tan x| on this interval.

Solution:

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Answer:Zeros \(\pi/6,5\pi/6\); maximum \(3\) at \(3\pi/2\); asymptotes \(\pi/2,3\pi/2\).

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