formule di trigonometria

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Categoria:Matematica
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Data:11.01.2007
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Testo

cos(A+B)=cosAcosB-senAsenB
cos(A-B)=cosAcosB+senAsenB
cos(2A)=cos2A-sen2A
sen(A+B)=senAcosB+cosAsenB
sen(A-B)=senAcosB-cosAsenB
sen2A=2senAcosA
tg(A+B)=(tgA+tgB)/(1-tgAtgB)
tg(A-B)=(tgA-tgB)/(1+tgAtgB)
tg(2A)=(2tgA)/(1-tg2A)
loga(BC)=logaB+logaC
loga(B/C)=logaB-logaC
loga(BM/N)=(M/N)logaB
loga(1/A)=-logaA
logbX=loga(X)/loga(b)
Pn=n!
Dn,k= n!/(n-k)!
Cn,k=Dn,k/Pk=n!/k!(n-k)!
P(aUb) = P(a)+P(b)-P(a∩b)
P(a∩b) = P(b)P(a|b)=P(a)P(b|a)
P(a|b)=P(a∩b)/P(b)
ρ1(cosΘ1+isenΘ1)*ρ2(cosΘ2+isenΘ2)=ρ1ρ2[cos(Θ1+Θ2)+isen(Θ1+Θ2)]
ρ1(cosΘ1+isenΘ1)/ρ2(cosΘ2+isenΘ2)=ρ1/ρ2[cos(Θ1-Θ2)+isen(Θ1-Θ2)]
[ρ(cosΘ+isenΘ)]n=ρn[cos(nΘ)+isen(nΘ1)]
[ρ(cosΘ+isenΘ)]1/n=ρ1/n[cos(Θ/n+2πk/n)+ isen(Θ/n+2πk/n)]

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