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April 30th, 2012, 09:49 PM   #1
Joined: Apr 2012

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amplitude of a sinusoid

I *think* this is the correct place to put this question. But here goes:

I'm having some troubles determining the amplitude/magnitude of the following equation.

Since each part is at a different frequency, i cannot sum the magnitudes of each part.

I have also thought about using variations of the double/triple angle formulae and some basic trigonometric identities, so that I can write the equation under a single frequency, but by doing so, I am introducing some higher order terms, which seem to negate the ability to sum the amplitudes together.

For example, the term with would look like

I suppose another method would be to plot the first equation and then record the amplitude, but i would like a more generalised approach to solve this problem. All input is welcome and appreciated.
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amplitude, sinusoid

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