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I would like to combine multiple sine waves with differing amplitudes, frequencies and phases into a single curve that I can display as a graph. What formula will I need to create the points for the curve?

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    Ideally, yes. I will the$n$ be able plot the results o$n$ a graph.2011-08-12

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You can start out with just

$a_0 \sin(2\pi f_0 t + \phi_0 ) + a_1 \sin(2\pi f_1 t + \phi_1) + \cdots.$

If there are an infinite number of terms, then they might converge into a recognizable waveform that has an easy description as a function such as a square wave or a triangle wave.

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    Thanks for the reply. The resulting curve would not be a square wave or triangle wave. The resulting curve would be one which oscillates more on some occasions than others.2011-08-12