Hyperbolic Sine - Exponent transition

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porcupineman23
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Hey
I didn't understand the transition below,
I'd be glad for some help
thanks
 
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  • Derivation of F(omega) as h/2pi times a sum of f_n e^(-ihn omega) over n from minus infinity to infinity, reduced to a geometric sum and then to h/2pi times sin(h omega (N + 1/2)) over sin(h omega/2).
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Discussion

Multiply all the terms by ##e^{ih\omega/2}##.
Then multiply all the terms by -1.
 

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