Pre calc

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y=5tan1/2(x+pi/4)

What is the period?

  • Pre calc -

    argument of tan = (x/2 + pi/8)

    when x = 0 right now argument of tan = (pi/8)

    what will x be when this is bigger by two pi?
    (x/2 + pi/8) = (2 pi + pi/8)

    or x/2 = 2 pi

    x = 4 pi = period
    or
    how much x has to increase to go a whole way around 2 pi radians

  • Pre calc -

    Oh, sorry, tangent repeats every pi, not 2 pi

    so period is 2 pi, not 4 pi

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