comp.py

Created on May 19, 2022
1.13 KB
# forme algébrique :
# 7/5 + 8/5i
#
# equation :  
# delta = ...

# -b-iVd     -b+iVd 
#--------    -------
#   2a          2a

# passage exp en algé
# 
# @ = teta

# exp |z|e^@
#
# trig |z|x( cos@ + i sin@ )
#
# mettre 2kpi en forme exp
# 
# ------------------------
#
# prouver que x une racine 
#  remplace les z par x et
# si = 0 c'est une racine0
#
# ------------------------
#
# A = sin(x+y)-sin(x-y)
# = sinxcosy+cosxsiny-sinxcosy+cosxsiny
# = 2cosxsiny
#
# B = cos(x-y)+cos(x+y)
# = cosxcosy+sinxsiny+cosxcosy-sinxsiny
# = 2cosxcosy
#
# C = sin(x+y)*sin(x-y)
# = (sinxcosy+cosxsiny)(sinxcosy-cosxsiny)
# = sin^2 x cos^2 y - cos^2 x sin^2 y 
#
# D = cos(x-y)*cos(x+y)
# = (cosxcosy+sinxsiny)(cosxcosy-sinxsiny)
# = cos^2 x cos^2 y - sin^2 x sin^2 y
# 
# sin(a+b)= SC+CS
# cos(a+b)= CC-SS
# sin(a-b)= SC-CS
# cos(a-b)= CC+SS
#
#--------------------------
#  ->   -> ->
# Zab = Zb-(Za)
#
# longueur AB :
# AB = |Zb - Za|
#
# pour avoir l'angle de C
#
# Za-Zc
# -----
# Zb-Zc
#
# 
# Zv/Zu = reel -> colinéaires 
#       = imaginaire pur orthogonaux
#
# 
# triangles deux long==
# -> isoceles
#
# triangles trois long==
# -> equilateral