
Graphing Sine Waves  Trigonometry Help  Game Tips:  Sine waves are used to model many periodic and vibrational patterns in nature.  The equation y = A sin (kT) represents a set of ordered pairs of the form (T,y).  When graphed on a horizontal Taxis and vertical yaxis, the curve represented by y = A sin (kT) is a Sine wave having vertical amplitude = A and horizontal wavelength = 2(Pi)/(k).  In a vibrating string example, A is the maximum deflection of the string from rest position. Wavelength refers to how long it takes for a pattern to repeat itself. Eg. a crest + a trough . As 'k' gets larger in size, the wavelength gets shorter. Also Pi = 3.14159 approximately.  The wave represented by y=5sin(3T) has amplitude 5 and approximate wavelength = 2(Pi)/3 = 2.1 units.  The wave y= 10sin(T) has amplitude 10 and approximate wavelength = 2(Pi)/1 = 6.3 units.  The simple basic sine wave y= sin(T) has amplitude 1 and approximate wavelength = 2(Pi)/1 = 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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