Ma belle sinusoide
Author: Daniel Mentrard
Date: 25 septembre 2007

\frac{\pi}{2}

\pi

\frac{3\pi}{2}

2\pi

\frac{5\pi}{2}

3\pi

Angle parcouru par M :

 \frac{ 7\pi }{2 } 

 \frac{9\pi }{2 } 

0

4π

\frac{\pi}{2}

\pi

\frac{3\pi}{2}

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°

Choose your step

5π

 \frac{ 11\pi }{2 } 

t = 690 (slider from 0 to 1080, step 1)
M: (cos(t°) - 1, sin(t°))
b_1, d = Tangent(M, c)
A = (0, -1)
I = (-1, 0)
O = (-1, 0)
e = Ray(M, A)
J = (0, 1)
k = CircleArc(O, I, M)
B = (0, 0)
i = OrthogonalLine(B, yAxis)
C = Point(i)
j = Ray(B, C)
P: (t * π / 360, 0)
M_0 = (0.78, 0)
M_1 = (1.57, 0)
M_2 = (2.36, 0)
M_3 = (3.14, 0)
M_4 = (3.92, 0)
M_5 = (4.71, 0)
β = Angle(I, O, M)
M_6 = (5.5, 0)
M_7 = (6.28, 0)
T17: "" + (x(M_7))
D = Intersect(yAxis, xAxis)
g = Segment(D, P)
h = Segment(O, I)
p = CircleArc(O, M, I)
E = Point(c)
l = Segment(I, E)
nb: t / 3.14
T26: "Nombre de tours : " + nb + "t"
m = Line(D, J)
n = Line(O, m)
F, G = Intersect(c, n)
q = Line(O, j)
H, K = Intersect(c, q)
r = Segment(H, K)
C_0: (x(M), 0)
s = Segment(C_0, M)
L: (t * π / 360, x(M) + 1)
a1 = Segment(E, F)
b1 = Segment(O, M)
c1 = Segment(P, L)
d1 = Segment(O, C_0)
f(x) = cos(2 * x)
α = Angle(B, I, M)
e1 = Line(E, J)
h1 = CircumcircleArc(P, O, I)
N: (0, x(M) + 1)
t_1 = Segment(N, B)
i1 = Segment(N, L)
b = false
a = true
Q = (0.969295584990916, 2.28665259363763)
R = (1.1606691427574385, 2.2779537955573335)
E' = Mirror(E, I)
g1 = Line(E', A)
pas = 5 (slider from 0 to 30, step 0.1)
ChampTexte1 = Textfield(pas)
T14: "" + (LaTeX[t]) + "°"
f1 = Function(f, 0, t * π / 360)
aa: t * π / 360
a_1 = Segment(I, E')
S = (-0.6573796560245265, 2.4693273533238562)
T = Mirror(M_6, M_7)
U = Mirror(M_7, T)
T' = Mirror(T, U)