The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year: f(t)=11+2.5sin((2pi/365)t-1.25). How many hours of daylight are there on the twelfth day of the year? Round the answer to the nearest tenth.

Question

The length of a day in Philadelphia, Pennsylvania, is given by the sinusoidal function, f(t), which represents the number of hours of daylight t days into the year:  f(t)=11+2.5sin((2pi/365)t-1.25). How many hours of daylight are there on the twelfth day of the year? Round the answer to the nearest tenth.

gunsodo · Answer

If calculator allowed, you could just let t=12 and input the equation.