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10 cards from this deck
y(t)=Asin(Bt+C)+Dy(t) = A \sin(Bt + C) + Dy(t)=Asin(Bt+C)+D or y(t)=Acos(Bt+C)+Dy(t) = A \cos(Bt + C) + Dy(t)=Acos(Bt+C)+D
AAA is the maximum value from the mean position in the model.
T=1/fT = 1/fT=1/f relates period TTT to frequency fff in trigonometry.
CCC represents how the function is horizontally shifted.
DDD moves the entire graph up or down vertically.
Use sine when the wave starts at the midline (y=0y=0y=0).
Use cosine for max/min at t=0t=0t=0; sine starts at zero.
A=(max−min)/2A = (max - min) / 2A=(max−min)/2 gives the amplitude value.
D=(max+min)/2D = (max + min) / 2D=(max+min)/2 calculates vertical shift.
Modelling wave motion, like in physics and engineering.
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