Sinusoidal relationship

Question

Create a simple sinusoidal relationship, including 2 periods. With at least 9 columns (like let's say for a bicycle wheel). Like any numbers, into a table of values. It should start from 0. I should be able to make a cos and sin equation with it.

Answer 1

Let's say you used a 28 inch diameter bicycle wheel and measured the height above/below the center hub (the y direction) of a fixed point as you rotate the tire like this:

The table would look like this:

θ 0 45° 90° 135° 180° 225° 270° 315° 360° 405° 450° 495° 540° 585° 630°675° 720°

y 0" 9.9" 14" 9.9" 0" -9.9" -14" -9.9" 0" 9.9" 14" 9.9" 0" -9.9" -14" -9.9" 0"

The formatting of the table is messed up but hopefully you can follow it.

The function would be y = 14sin(θ)