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A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics , as a linear motion over time, this is simple harmonic motion ; as rotation , it corresponds to uniform circular motion .
A sine, square, and sawtooth wave at 440 Hz A composite waveform that is shaped like a teardrop. A waveform generated by a synthesizer. In electronics, acoustics, and related fields, the waveform of a signal is the shape of its graph as a function of time, independent of its time and magnitude scales and of any displacement in time.
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...
Likewise, the sine transform of is the above plot. Thus, the sine wave function and the time-shifted Dirac delta function form a transform pair. Similarly, because sin is odd, the sine transform of any odd function () also simplifies to avoid negative :
A stream of information about how to amplitude-modulate the I and Q phases of a sine wave is known as the I/Q data. [6] By just amplitude-modulating these two 90°-out-of-phase sine waves and adding them, it is possible to produce the effect of arbitrarily modulating some carrier: amplitude and phase.
When two signals with these waveforms, same period, and opposite phases are added together, the sum + is either identically zero, or is a sinusoidal signal with the same period and phase, whose amplitude is the difference of the original amplitudes. The phase shift of the co-sine function relative to the sine function is +90°.
Harmonics (electrical power) – Sinusoidal wave whose frequency is an integer multiple; Harmonic generation – Nonlinear optical process; Harmonic oscillator – Physical system that responds to a restoring force inversely proportional to displacement; Harmony – Aspect of music; Pure tone – Sound with a sinusoidal waveform
Tracing the y component of a circle while going around the circle results in a sine wave (red). Tracing the x component results in a cosine wave (blue). Both waves are sinusoids of the same frequency but different phases. A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine ...