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Math/precalc

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What is the period and amplitude of y=3tan(2/3x-pi/6)?

Thanks!

  • Math/precalc - ,

    I do not think amplitude means much for a tangent function which goes to infinity twice a period so I would not say 3 but maybe undefined.

    when the x term increases to 2 pi from 0 we have gone a period so
    (2/3) x = 2 pi
    x = 3 pi when we have gone a period
    period = 3 pi

  • Math/precalc - ,

    Sorry
    tangent period is pi, not 2 pi so
    (2/3) x = 1 pi
    x = 3 pi/2 = period

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