The discussion focuses on modeling tidal changes using the cosine function, specifically the equation y = A cos(Bx + C) + D. The problem involves high tide at 4 AM with a depth of 6 meters and low tide at 10 AM with a depth of 2 meters. The correct parameters were determined to be A = 2, D = 4, B = π/6, and C = -2π/3, correcting the initial miscalculation of C. The adjustments ensure that the equation accurately reflects the tidal changes over time.
PREREQUISITESStudents studying mathematics, particularly those focusing on trigonometry and modeling real-world scenarios, as well as educators looking for practical examples of cosine functions in action.
jlhmom said:Homework Statement
High tide at 4am with a depth of 6 meters. Low tide at 10 am with a depth of 2 meters. Model the problem using the equation to show the depth of the water t hours after midnight.
Homework Equations
y= A cos(Bx+C) +DThe Attempt at a Solution
: I am not getting the values that I should I think.
I have A=2, D=4, B=pi/6, C=pi/6. They don't seem right though.