Adding two sine waves out of phase

Thread Starter

Cerkit

Joined Jan 4, 2009
287
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
 

Alec_t

Joined Sep 17, 2013
10,355
It comes from the trigonometric identity
sin(A) + sin (B) =2* sin((A+B)/2) * cos ((A-B)/2)
 
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