The height from the mean, or rest, value of the function to its maximum or minimum.
A sine wave, or sinusoid, is the graph of the sine function in trigonometry. In addition to mathematics, this function also occurs in other fields of study such as science and engineering. This wave pattern also occurs in nature as seen in ocean waves, sound waves and light waves. A number in front of sine or cosine changes the height of the graph. The value A affects the amplitude. The amplitude (half the distance between the maximum and minimum values of the function) will be |A| , since distance is always positive. The general form of the cosine function can also be. since the cosine function is identical to the sine function (except for a horizontal shifted to the left of 90 or radians). Any cosine function can be written as a sine function. Sinusoidal Function: |A| = amplitude B = cycles from 0 to period = D = vertical shift (or displacement) C = horizontal shift (sometimes called phase shift when B = 1). Let's start with an investigation of the simpler graphs of y = A sin(Bx) and y = A cos(Bx). The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function. Amplitude is the magnitude (height) of the oscillation (wave) of a sinusoidal function. Sometimes it is referred to as the peak from center of the graph. The maximum of y = sin x is 1. The minimum is -1. The amplitude is 1/2(1 - (-1)) = 1. Note: while vertical shifts alter the maximum and minimum values of a function, they do not alter the amplitude. Also horizontal shifts do not affect A sine wave, or sinusoid, is the graph of the sine function in trigonometry. A sinusoid is the name given to any curve that can be written in the form (A and B are positive). Sinusoids are considered to be the general form of the sine function. Introduction. Objectives: To find the amplitude and period of a trigonometric function from its equation; to find the amplitude and period of a trigonometric function from its graph; to graph sine and cosine functions with various amplitudes and periods. Amplitude is the height from the mean, or rest, value of the function to its maximum or minimum. The period is the distance required for the function to complete one full cycle. For the sine function, the amplitude is given by and the period is defined as. The same is true for a cosine function.
http://regentsprep.org/Regents/math/algtrig/ATT7/graphvocab.htm http://regentsprep.org/Regents/math/algtrig/ATT7/sinusoidal.htm http://regentsprep.org/Regents/math/algtrig/ATT7/sinusoidal.htm http://regentsprep.org/Regents/math/algtrig/ATT7/graphvocab.htm http://regentsprep.org/Regents/math/algtrig/ATT7/sinusoidal.htm http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Umberger/EMAT6690smu/Day2/Day2.html http://www.chegg.com/homework-help/definitions/amplitude-and-period-65
what does the amplitude mean in a cosine equation