these are angular velocity & time. Sine(wt)
By shifting the sine wave by 45 degrees.
The Fourier transform of a sine wave is a pair of delta functions located at the positive and negative frequencies of the sine wave.
Neither wave is smoother than the other. However, the two waves are usually evaluated from 0 to 2*pi, and in that case, the cosine wave begins at y=1, and the sine wave begins at 0.
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.
A wave is composed of an amplitude and a wavelength. A transverse wave contains oscillations perpendicular to the direction the wave is traveling, for instance, a sine wave.
Sine wave is considered as the AC signal because it starts at 0 amplitude and it captures the alternating nature of the signal. Cosine wave is just a phase shift of the sine wave and represents the same signal. So, either sine or cosine wave can be used to represent AC signals. However, sine wave is more conventionally used.
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.