mathex.py

Created by mbtp07

Created on April 07, 2022

484 Bytes


module = racine a carre + b carre
arg = ce qui verifie l'equation :
  cos ? = a/module
  sin ? = b/module
  arg(?) modulo 2pi
  
forme trigo= module(cos(arg)+isin(arg)

cos(a-b)=ca*cb+sa*sb
cos(a+b)=ca*cb-sa*
sin(a-b)=sa*cb-sb*ca
sin(a+b)=sa*cb-sb*ca

cos(2a)=2cos^2(a)- 1
sin(2a)=2sin(a)*cos(a)

arg(a*b)=arga+argb
arg(a^n)=n*arg(a)
arg(1/a)=-arg(a)

exp= ZEialpha

cos alph + i sin alph)^n = cos nalph + i sin n alph
cos alph= eialph-e-ialph / 2
sin alph= pareil / 2i