Fourier Series Representation of Signals (Proof)

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The forum discussion centers on the Fourier Series representation of signals, specifically addressing the proof involving the trigonometric identity for cosine, cos(a+b) = cos(a)cos(b) - sin(a)sin(b). The user seeks clarification on the transition between two steps in the proof. Ultimately, the discussion highlights the importance of understanding trigonometric identities in the context of Fourier analysis.

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Icetray
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Hi guys,

I was studying the proof below and just can't figure out the the first highlighted step leads to the second and I was wondering if you guys can help me to fill that in. (:

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Thank you so much for your help in advance guys!
 
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It follows from:

cos(a+b)= cos(a)cos(b)-sin(a)sin(b)
 
MathematicalPhysicist said:
It follows from:

cos(a+b)= cos(a)cos(b)-sin(a)sin(b)

Thank you so much! :D
 
-- it's okay, I for it. Really stupid question. hahaha ---
 

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