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Write the equation of the sine function with an amplitude of 1/7, a period of 2pi, a phase shift of 6pi, and a vertical shift of 10 units up ?

  • Trig -

    you should be familiar with the general equation of a sine function for the above problem.
    Just insert the values, the only value needing any consideration is the period
    period = 2π/k, k = 2π/(2π) = 1

    so

    y = (1/7) sin 1(Ø - 6π) + 10 or

    y = (1/7) sin(Ø - 6π) + 10

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