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Math Help - Compound Angle Formula Proof [sin(A+B)]

  1. #1
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    Compound Angle Formula Proof [sin(A+B)]

    Hello!


    I came across a question to prove:

    \sin (A+B) = \sin A \cos B + \cos A \sin B

    I did it geometrically but the method was fairly long (but it worked). I got told that I could have done it using complex numbers.


    How would I do that? Thanks in advance.
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  2. #2
    MHF Contributor kalagota's Avatar
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    e^{i(A+B)}=e^{iA}e^{iB}

    just solve both sides, by transforming each to trigonometric form..
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