The daily number of hours of daylight in Nowhere, NC can be given by h=(41/4)+(5/3)sin(2pi(x)/365), On what day or days will there be approximately 10 hours of daylight?

Question

The daily number of hours of daylight in Nowhere, NC can be given by h=(41/4)+(5/3)sin(2pi(x)/365), where x is the number of days after March 21(disregarding leap year). On what day or days will there be approximately 10 hours of daylight?

Answer 1

You can plot h(x) on Desmos (make sure you are working in radians)

Then draw the line y = 10

Where the line intersects the curve read off the x coordinates and round to the nearest whole number.

These will be the days after March 21 (so just count the days using a calendar).

Then try and see the pattern