Adding two sine waves out of phase

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Discussion in 'General Electronics Chat' started by Cerkit, Nov 20, 2015.

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  1. Nov 20, 2015 #1
    Cerkit

    Thread Starter Senior Member

    Jan 4, 2009
    286
    3
    Hi.

    Why is it that when adding two sine waves of same amplitude but out of phase is it 2 * Amplitude * sin(theta/2)

    How do I get to theta/2

    Can someone point me to the derivation of this please?

    Thanks
     
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  2. Nov 20, 2015 #2
    Alec_t

    AAC Fanatic!

    Sep 17, 2013
    8,853
    2,077
    It comes from the trigonometric identity
    sin(A) + sin (B) =2* sin((A+B)/2) * cos ((A-B)/2)
     
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