Generate a Sine Wave Graph from a Circle - Trigonometry Help - Game Tips:

- Get 4 correct answers and spin the ferris wheel !

- When you ride a ferris wheel, your vertical positions compared to the centre of the wheel
    form a sine wave pattern based on the rotation angle of the ferris wheel.

- The equation y = A sin(T)   represents a set of ordered pairs of the form (T,y)
    with y representing vertical height and T representing the angle of rotation.

- When graphed on a horizontal T-axis and vertical y-axis, the curve represented by y = A sin(T)
    is a sine wave having vertical amplitude = |A| and horizontal wavelength = 2(Pi).

- In the ferris wheel example, A is the maximum vertical distance above the centre of the wheel.
    The amplitude of the wave is based on the radius of the ferris wheel. In this game r=1 unit.

- Wavelength refers to how long it takes for a pattern to repeat itself. Eg. a crest + a trough .
    The wavelength of the wave is based on one complete wheel rotation = 360 degrees.

- A rotation of 360 degrees is also described in Math as an angle of 2(Pi) radians.
    This means that one wavelength of y = A sin(T) is approximately 2(3.14159) = 6.3 units long.
    [Radian measure can be based on a circle's Circumference = 2(Pi)r, where Pi=3.14159 approx.]

- The basic sine wave y= sin(T) has amplitude 1 unit and an approximate wavelength of 6.3 units.

- It may take a minute to load the game at dial-up speeds.
- The game can be played using the mouse by itself or using the keyboard by itself.
- If the game doesn't respond to keyboard input, click inside the game area to reset the game's focus.
- Adjust the game's speed by pressing the + or - key repeatedly.

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