$ \frac{\pi}{6} $

$ \frac{\pi}{4} $

$ \frac{\pi}{3} $

$ \frac{\pi}{2} $

$ \frac{2 \pi}{3} $

$ \frac{3\pi}{4} $

$ \frac{5\pi}{6} $

module = 4.7 (slider from 0 to 10, step 0.1)
argument = 0.5235987755982988 rad (slider from 0 to 6.283185307179586, step 0.2617993877991494)
B = Intersect(xAxis, yAxis)
h = Circle(B, module)
F = Point(xAxis)
F' = Rotate(F, argument, B)
f = Ray(B, F')
z = Intersect(h, f, 1)
z_1 = Point(f)
a = Segment(B, z_1)
b = OrthogonalLine(z_1, xAxis)
C = Intersect(b, xAxis)
D = Intersect(xAxis, a)
ord: y(z)
texte2: "" + ord + ""
abs_1: x(z)
texte1: "" + abs_1 + ""
E = Midpoint(a)
α = Angle(C, B, z_1)
i = OrthogonalLine(z, yAxis)
j = OrthogonalLine(z, xAxis)
G = Intersect(i, yAxis)
H = Intersect(xAxis, j)
k = Segment(G, z)
l = Segment(z, H)
c = Segment(z_1, z)
A = Midpoint(c)
texte3: "$z =\ " + (LaTeX[module]) + "  \; \left( cos(" + (LaTeX[argument]) + ") + i \; sin(" + (LaTeX[argument]) + ") \right) $"
texte6: "$ z = " + (LaTeX[module]) + " \; e^{i \; " + (LaTeX[argument]) + "} $"
texte4: "$ arg(z)  = " + (LaTeX[argument]) + "$"
β_2 = Angle(F, z_1, F')
F'_1 = Rotate(F, 1.0471975511965976, B)
β = Angle(F, B, F'_1)
F'_2 = Rotate(F, 0.7853981633974483, B)
γ = Angle(F, B, F'_2)
F'_3 = Rotate(F, 0.5235987755982988, B)
δ = Angle(F, B, F'_3)
F'_4 = Rotate(F, 2.0943951023931953, B)
ε = Angle(F, B, F'_4)
F'_5 = Rotate(F, 2.356194490192345, B)
ζ = Angle(F, B, F'_5)
F'_6 = Rotate(F, 2.6179938779914944, B)
η = Angle(F, B, F'_6)
d = Line(B, F'_1)
e = Line(B, F'_2)
g = Line(B, F'_3)
m = Line(B, F'_4)
n = Line(B, F'_5)
p = Line(B, F'_6)
texte5: "$ \left\vert  z\right\vert =\sqrt{(" + (LaTeX[abs_1]) + ")^{2}+(" + (LaTeX[ord]) + ")^{2}} = " + (LaTeX[module]) + " $"