Solve word problems that involve real-world contexts that are modeled by sinusoidal functions.


L, left parenthesis, t, right parenthesis models the length of each day (in minutes) in Manila, Philippines t days after the spring equinox. Here, t is entered in radians.
L, left parenthesis, t, right parenthesis, equals, 52, sine, left parenthesis, start fraction, 2, pi, divided by, 365, end fraction, t, right parenthesis, plus, 728
What is the first day after the spring equinox that the day length is 750 minutes?
Round your final answer to the nearest whole day.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i