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1.The latest time of sunrise occurs at 9:10AM on December 21. The earliest time of sunrise occurs at 3:43am on June 21. Write a cosine equation to model the time of sunrise.
2. The fraction of the moon illuminated at midnight EST on the t day of June 2009 is given in the table.
Day (t) 3 6 9 12 15 18 21 24 27 30
Fraction (y) 0.81 0.97 0.99 0.83 0.57 0.27 0.05 0.03 0.26 0.58
Write a sinusoidal model for these data. Use your equation to predict the fraction of the moon illuminated on June 1, 2009.

3. The average monthly temperature in a city is given in the below table. Write a sine equation to model these
data.
Month 1 2 3 4 5 6 7 8 9 10 11 12
◦F 50 54 62 70 76 82 85 84 79 70 60 53



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