$P$

$1$

$\cos(\alpha)$

$T$

$\tan(\alpha)$

$\alpha$

$\small\cos(\alpha)$

$\small\sin(\alpha)$

$\small\tan(\alpha)$

Der Punkt P am Einheitskreis ist beweglich.

$1$

$1$

$-1$

$-1$

A = Intersect(xAxis, yAxis)
B = Point(xAxis)
C: (-1, 0)
c: x^(2) + y^(2) = 1
P = Point(c)
f = Segment(A, P)
g = OrthogonalLine(P, xAxis)
E = Intersect(g, xAxis)
h = Segment(A, E)
β = Angle(P, E, A)
G = Point(c)
m = OrthogonalLine(G, xAxis)
H = Intersect(f, h)
n = Line(H, P)
T = If(x(P) ≟ 1, (1, 0), Intersect[m, n])
p = Segment(T, G)
q = Segment(P, T)
G' = Rotate(G, 90°, T)
J = Intersect(p, q)
γ = Angle(J, B, A)
α = Angle(xAxis, f)
u = Vector(A, E)
v = Vector(E, P)
w = Vector(G, T)
Text1: "$\cos(\alpha)=" + (LaTeX[x(P)]) + "$"
Text2: "$\sin(\alpha)=" + (LaTeX[y(P)]) + "$"
Text3: "$\tan(\alpha)=" + (LaTeX[y(T)]) + "$"
Text4: "$\alpha=" + (LaTeX[α]) + "$"
s: 0