Suma de senos y cosenos

S=sin(a)+sin(2a)+sin(3a)+…+sin(na)

S=(sin(na/2)*sin((n+1)*(a/2)))/sin(a/2)

C=cos(a)+cos(2a)+cos(3a)+…+cos(na)

C=(sin(na/2)*cos((n+1)*(a/2)))/sin(a/2)

Ejemplos:

Sen1+sen2+sen3+sen4=sen2*sen(5/2)/sen(1/2)=0.174444…

Cos1+cos2+cos3+cos4=sen2*cos(5/2)/sen(1/2)=3.995…

~ por leonsotelo en junio 6, 2010.

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