experte.py

Created by rorotoniogaming

Created on March 30, 2022

674 Bytes

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

propriété des carré :
cos^2 a + sin^2 a =1

sin 2a=2cos a sin a
cos 2a=cos^2 a - sin^2 a
cos 2a=2cos^2 a - 1
cos 2a=1 -2sin^2 a

arg(zxz')=arg(z)+arg(z')
arg(1/z)=-arg(z)
arg(z/z')=arg(z)-arg(z')
arg(z^n)=n x arg(z)

e^i0= cos O + isin 0
avec /e^i0/=1et arg(e^io)=O

z=/z/e^iO
forme exp du nb complexe z

/e^iO/=1
arg(e^i0)=0
e^i0=e^i0' <-> 0=0'

e^i0 x e^i0' = e^i(0+0')
pareil pour l'inverse
(e^i0)^n = e^in0 : formule de moivre

cos 0 = (e^i0 + e^-i0)/2
sin 0 = (e^i0 - e^-i0)/2i

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