Nombres complexes
Author: Raphael THOMAS : PHYSIKWEB.FR
Date: 2 Janvier 2017

Axe des imaginaires

Axe des réels

forme algebrique

forme trigonometrique

forme exponentielle

$ \left\vert z \right\vert sin\,\theta $

$ \left\vert z \right\vert cos\,\theta $

M = (8, 4)
a = Line(M, yAxis)
b = Line(M, xAxis)
A = Intersect(b, yAxis)
B = Intersect(a, xAxis)
c = Segment(M, A)
d = Segment(M, B)
e: x(B)
f: y(A)
O = Intersect(xAxis, yAxis)
h = Segment(O, M)
α = Angle(B, O, M)
j: (x(h)^(2) + y(h)^(2))^(1 / 2)
texte7: "θ =" + α + ""
C = Point(h)
k: α / rad
l = true
m = true
texte2: "Re(z) = " + (LaTeX[e]) + "   ;   Im (z) = " + (LaTeX[f]) + ""
g = false
texte8: " z = " + (LaTeX[j]) + "(cos(" + (LaTeX[k]) + ")+isin( " + (LaTeX[k]) + "))"
texte6: "$\left\vert$z$\left\vert$   =$\sqrt{{(" + (LaTeX[e]) + ")^2}+(" + (LaTeX[f]) + ")^2}=" + (LaTeX[j]) + "}$ 
 "
texte3: "z = " + j + " e∧( " + k + " i)"
D = (-9.199112441824177, 8.776074909492383)
E = (-9.269106241520925, 7.142886249901584)
F = (-2.2583963417686244, 7.059338495242466)
G = (-2.2583963417686244, 8.972502353620259)
H = (-9.558430217182568, 6.9350348403582345)
I = (-9.6946300613358, 5.0954156988116415)
J = (-1.751803885481689, 4.8357047611815345)
K = (-1.6588891976001416, 6.8484645278148655)
L = (-8.958782404717162, 4.6604095098787175)
N = (-8.915497248445478, 2.7991477901962827)
P = (-2.985430839224698, 2.820790368332125)
Q = (-3.266784354990648, 4.4006985722486105)
texte1: "z = " + (LaTeX[M]) + ""