In a tidal river, the time between high and low tide is 6.6 hours. At high tide the depth of water is 16.7 feet, while at low tide the depth is 5.1 feet. Assume the water depth as a function of time can be expressed by a trigonometric function (sine or cosine). Write an equation for the depth f(t) of the tide (in feet) t hours after 12:00 noon.

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.