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Trigonometry

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Using the same equation from problem 1, what is the average temperature in Atlanta, GA, for the month of June?

equation from #1 is
y = 18.25 sin(pi/6 t - 2.09) + 61.15
where t is the time in months and January is t = 1.

  • Trigonometry -

    Y = 18.25sin(t*pi/6 - 2.09) + 61.15.

    Y = 18.25*sin(6*3.14/6 - 2.09) + 61.15,
    Y = 18.25*sin(3.14 - 2.09) + 61.15,
    Y = 18.25*sin(1.052) + 61.15,
    Convert to degrees:
    Y = 18.25*sin(1.052*57.3deg/rad) + 61.15,
    Y = 18.25*sin(60.28) + 61.15,

    Y = 16 + 61.15 = 77.15deg in June.

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