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Lets say I have some combination of an arbitrary number of sinusoids with potentially varying magnitudes, phase angles and frequencies that I would like to compose into a singular sinusoid, is there a fairly straight forward method of doing so? If not, how involved would it be to write a function that would do so?

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    $\begingroup$ Welcome to Mathematica! I'm not quite clear on what you're asking for. Can you provide an example of what your "input" sinusoids might be and what you're looking for as output? $\endgroup$
    – Michael Seifert
    Commented Aug 5, 2021 at 18:17
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    $\begingroup$ Have you seen TrigReduce and TrigToExp? They may get you started. $\endgroup$
    – Roman
    Commented Aug 5, 2021 at 20:27
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    $\begingroup$ …And TrigExpand, too. $\endgroup$
    – march
    Commented Aug 5, 2021 at 23:44
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    $\begingroup$ Alternatively, you could look at things like FourierSinCoefficient and friends. $\endgroup$
    – march
    Commented Aug 5, 2021 at 23:46
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    $\begingroup$ It is not completely clear what you want. Please give a relatively simple example. $\endgroup$
    – Somos
    Commented Aug 6, 2021 at 0:04

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