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Is sine wave used in analog or digital?
No and yes. Digital signals are usually square or pulse waves. By Fourier analysis, however, every periodic wave, even a square wave, is the summation of some series (often infinite) of sine waves.
Discontinuous function in fourier series?
yes a discontinuous function can be developed in a fourier series
Why fourier series is used for frequency domain?
The fourier series relates the waveform of a periodic signal, in the time-domain, to its component sine/cosine frequency components in the frequency-domain. You can represent any periodic waverform as the infinite sum of sine waves. For instance, a square wave is the infinite sum of k * sin(k theta) / k, for all odd k, 1 to infinity. Using a Fourier Transformation, you take take a signal, convert it from time-domain to frequency-domain, apply some filtering or shifting, and convert it back to time-domain. Sometimes, this is easier than building an analog filter, even given that you need a digital signal processor to do it.
What is the Integration of sine wave?
cos wave
Determine second third and 12TH harmonic of a sine 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.
