Suppose that you are on the beach on December 25th and notice
high tide occurs at 2:00 pm with a depth of
1.9 meters. You then
return at 8:00 in the evening and notice
it is low tide at 0.5 meters
.
Find a cosine function that represents the
depth as a function of
time in hours that has elapsed since 12:00
midnight at the
beginning
of December 25th. Assume that the depth varies
sinusoidally with
time.