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Modeling with sinusoidal functions: phase shift

In January, the average temperature tt hours after midnight in Mumbai, India, is given by
T(t)=24.55.5sin(2π(t+1)24)\qquad T(t) = 24.5 -5.5 \sin \left(\dfrac{2\pi (t+1)}{24}\right).
What is the coldest time of day in Mumbai? Give an exact answer.
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
hours after midnight