Fourier Series Representation of Signals (Proof)

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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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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 ---