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Adding two sine waves out of phase

C

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

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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