High tide occurs at 8:00 A.M. and is 1 m above sea level. Six hours later, low t

Question

High tide occurs at 8:00 A.M. and is 1 m above sea level. Six hours later, low tide is 1 m below sea level. After another 6 h, high tide occurs (again 1 m above sea level), then finally one last low tide (6 h later, 1 m below sea level). this can be modeled by: x(t) = (1 m)cos[(2?/12h)*t ? 4?/3] (b) Find the times in the day when the ocean level is exactly at sea level. (Enter your answers as numbers from 1 to 24.) h (earliest value) h h h (latest value)

Explanation / Answer

b)ocean level is exactly at sea level => x(t) = 0 =>1*cos((2pi/12)t - 4pi/3) = 0 =>(2pi/12)t - 4pi/3 = (2n-1)*(pi/2) =>(2pi/12)t - 4pi/3 = -pi/2, pi/2, 3pi/2, 5pi/2, 7pi/2,.... =>t = 5.00, 11.00, 17.00, 23.00 hrs

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