Creating complex waveforms can be made by adding three series of sine waves with different frequencies. Increase or decrease the frequencies and increment the phase of the component sine waves to see how they add together.

Fourier analysis is breaking down a complex waveform into series of sine waves. As you can see from above waveform the total of three sine waves with different frequencies generated a new complex waveform. The process of adding together series of sine waves with different frequencies are called Fourier synthesis.

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So what if I can't remember formula and forget how to use calculator?