Modelling using the sine curve

Use this applet to examine the curve formed by a capsule on the London Eye. You can move the slider on the top right hand side to see the position of the capsule for different times (t). Clicking 'Show Locus' will show you the full locus of these points. See if you can then find the equation of the locus in the form [math]h = a sin(b(t-c)) + d[/math].