
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 Taxis and vertical yaxis, 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 dialup 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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