1

-1

\frac{\pi}{2}

\pi

2\pi

\frac{2}{3}\pi

sin(x)

\alpha

\alpha

\frac{\pi}{2}

\pi

\frac{2}{3}\pi

cos(x)

tan(x)

M = (-0.8291666666666668, 1.6458333333333333)
O: (x(M) + 1.5, y(M))
Hilfsgerade = Line(M, xAxis)
a = 1
c = Circle(M, a)
C = Intersect(c, Hilfsgerade, 2)
P = Point(c)
b = CircleArc(M, C, P)
b_1 = OrthogonalLine(P, xAxis)
A = Intersect(b_1, Hilfsgerade)
cos = Segment(M, A)
sin = Segment(A, P)
r = Segment(P, M)
X_{Ende}: (x(O) + 2 π + 0.5, y(O))
Y_{Anfang}: (x(O), y(O) - 1.5)
Y_{Ende}: (x(O), y(O) + 1.5)
u = Vector(Y_{Anfang}, Y_{Ende})
v = Vector(O, X_{Ende})
B_1: (x(O) + 2 π, y(O))
D = Midpoint(O, B_1)
E = Midpoint(B_1, D)
F = Midpoint(D, O)
G: (x(O), y(O) + 1)
H: (x(O), y(O) - 1)
B: (x(O) + b, y(O))
d = OrthogonalLine(B, v)
e = Line(P, Hilfsgerade)
J = Intersect(e, d)
f = Segment(J, B)
g = Segment(P, J)
K: (x(M), y(M) + 1.5)
L: (x(M), y(M) - 1.5)
h = Segment(K, L)
N = Intersect(c, h, 1)
Q = Intersect(c, h, 2)
R: (x(M) - 1.5, y(M))
i = Segment(R, O)
f_1 = Function(sin(x - x(O)) + y(O), 0 + x(O), 6.28 + x(O))
S = Intersect(c, Hilfsgerade, 1)
α = Angle(C, M, P)
g_1 = Function(tan(x - x(O)) + y(O), 0 + x(O), 6.28 + x(O))
h_1 = Function(cos(x - x(O)) + y(O), 0 + x(O), 6.28 + x(O))
j = OrthogonalLine(C, Hilfsgerade)
k = Line(M, P)
T = Intersect(k, j)
l = Segment(P, T)
tan = Segment(T, C)
m = Line(T, Hilfsgerade)
I = Intersect(m, d)
n = Segment(T, I)
U = Rotate(A, 90°, M)
β = Angle(A, M, U)
p = CircleArc(M, A, U)
q = Line(U, Hilfsgerade)
V = Intersect(q, d)
s = Segment(U, V)
t = Segment(O, B)