The tide is the periodic variation where the rise and fall of the sea surface level alternates due to the influence of the Moon and the Sun. The origin of the tides is the gravitational attraction exerted by the Moon on the waters. The depth of the water can be modeled by means of a sinusoidal function.

In a port, the tide rises and falls every 12.4 hours and the depth of the water varies from 5.8 to 12.2 meters. If the high tide occurred at 04:00, the function that describes the depth at any time t is:.

Analyze the data and indicate how much it is:

a) I phase:

b) period:

c) amplitude:

0.9 f (t) = 3.2sen t 9 6.2 6.2