am_einheitskreis

-\sqrt{3}

\sqrt{3}/3

-\sqrt{3}/3

1/2

-1/2

\sqrt{3}

\sqrt{2}/2

-\sqrt{2}/2

-\sqrt{3}/2

\sqrt{3}/2

-\frac{\sqrt{3}}{2}

-\frac{\sqrt{2}}{2}

-\frac{1}{2}

\frac{1}{2}

\frac{\sqrt{2}}{2}

\frac{\sqrt{3}}{2}

\tan\alpha

\sin\alpha

\cos\alpha

x = 1

x^2+y^2 = 1

x

y

α = 0.7853981633974483 rad (slider from -540° to 900°, step 3°)
gl1: x^(2) + y^(2) = 1
gl2: x = 1
A: (1, 0)
B: (0, 0)
A' = Rotate(A, α, B)
β = Angle(A, B, A')
m: tan(α)
f(x) = If[x(A') ≤ x ≤ 100, (m * x)]
gl3 = Sequence(If[α ≟ (k * 180°) + 90°, x = 0], k, -6, 10)
C: (sqrt(3) / 2, 1 / 2)
D: (sqrt(2) / 2, sqrt(2) / 2)
E: (1 / 2, sqrt(3) / 2)
F: (0, 1)
C' = Rotate(C, 90°, B)
C'' = Rotate(C', 90°, B)
C''' = Rotate(C'', 90°, B)
D' = Rotate(D, 90°, B)
D'' = Rotate(D', 90°, B)
D''' = Rotate(D'', 90°, B)
E' = Rotate(E, 90°, B)
E'' = Rotate(E', 90°, B)
E''' = Rotate(E'', 90°, B)
F' = Rotate(F, 90°, B)
F'' = Rotate(F', 90°, B)
g = Segment(C', E)
h = Segment(E, C''')
i = Segment(C''', E'')
j = Segment(E'', C')
k = OrthogonalLine(A', xAxis)
l = OrthogonalLine(A', yAxis)
G = Intersect(xAxis, k)
H = Intersect(l, yAxis)
q = Segment(D', D)
r = Segment(D, D''')
s = Segment(D''', D'')
t = Segment(D'', D')
a = Segment(E', C)
b = Segment(E''', C)
c = Segment(E''', C'')
d = Segment(C'', E')
I = Intersect(f, gl2)
u = Vector(B, A')
e = OrthogonalLine(I, yAxis)
J = Intersect(e, yAxis)
v = Vector(A', H)
w = Vector(A', G)
n = Vector(I, J)
K: (1, 1)
L: (1, 1 / sqrt(3))
M: (1, sqrt(3))
N: (0, sqrt(3))
O: (0, 1 / sqrt(3))
p = Segment(N, M)
f_1 = Segment(O, L)
g_1 = Segment(F, K)
M' = Mirror(M, xAxis)
N' = Mirror(N, xAxis)
M'_{1} = Mirror(M, xAxis)
p' = Segment(N', M'_{1})
K' = Mirror(K, xAxis)
F'_{1} = Mirror(F, xAxis)
K'_{1} = Mirror(K, xAxis)
h_1 = Segment(F'_{1}, K'_{1})
L' = Mirror(L, xAxis)
O' = Mirror(O, xAxis)
L'_{1} = Mirror(L, xAxis)
i_1 = Segment(O', L'_{1})