Question

In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above the average sea level. After 6 hours pass, the low tide occurs at 6 feet below the average sea level. In this task, you will model this occurrence using a trigonometric function by using x as a measurement of time. Assume the first high tide occurs at x = 0

Create a trigonometric function that models the ocean tide for a period of 12 hours.

Answer 1

The trigonometric function that models the ocean tide for a period of 12 hours is f(x) = 6 sin (2πx/12).