In a tidal river, the time between high tides is 12 hours. The average depth of water at a the river is 4 metres and at high tide, the depth is 7 metres. Point c The depth of water h(t) metres, at this point is given by h(t) = a sin( bt + c) +d where t is the number of hours after noon. At noon there is high tide. Find the values of positive real numbers a, b, c and d.

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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.