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 T-axis and vertical y-axis, 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 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. More SliderMath   Copyright © All Rights Reserved.
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