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cos wave
A sine wave has no harmonics. It only has a fundamental, so the value of the 2nd, 3rd, and 12th harmonics of a sine wave is zero.
It's called a sine wave because the waveform can be reproduced as a graph of the sine or cosine functions sin(x) or cos (x).
The fourier series of a sine wave is 100% fundamental, 0% any harmonics.
Since a sine wave is described by the trigonometric sin(x) function, which is symmetrical, the sine wave is also symmetrical, unless there is a DC bias, in which case it is not. (It depends on your definition of symmetry)
A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be y' =-Ab sine(a+bt)
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A sine wave centered at zero will have a positive peak that is the same magnitude as the negative peak. This can be offset so the negative peak magnitude does not match the positive peak magnitude. For example a 1volt peak - neutral sine wave could be DC offset by 1 volt so the positive peak is at 2 volts and the negative peak is at 0.
By shifting the sine wave by 45 degrees.
A sine wave is the graph of y = sin(x). It demonstrates to cyclic nature of the sine function.
The voice is not a sine wave.
a phase shifted sine wave of a different amplitude.
cos wave
A sine wave has no harmonics. It only has a fundamental, so the value of the 2nd, 3rd, and 12th harmonics of a sine wave is zero.
It's called a sine wave because the waveform can be reproduced as a graph of the sine or cosine functions sin(x) or cos (x).
The sine wave, with its repeating pattern, can represent a single frequency with no harmonics.
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.