Amplitude

2π / Periode

Verschiebg. in x-Richtung

Verschiebg. in y-Richtung

Parameter der allg. Sinusfunktion

(haj v 2.0)

d = 0 (slider from -2 to 3, step 0.1)
c = 0 (slider from -3.2 to 3.2, step 0.1)
b = 1 (slider from 0.1 to 5, step 0.05)
a = 1 (slider from -3 to 5, step 0.1)
f(x) = a sin(b * (x - c)) + d
g(x) = sin(x)
W: (c, f(c))
O = (0, 0)
e = OrthogonalLine(W, xAxis)
C = Intersect(e, xAxis)
h = Segment(O, C)
i = Segment(C, W)
j = OrthogonalLine(W, yAxis)
T: (c - 3.14 / (2 b), f(c - 3.14 / (2 b)))
T1: (c + 3 * 3.14 / (2 b), f(c - 3.14 / (2 b)))
k = Segment(T, T1)
H: (c + 3.14 / (2 b), f(c + 3.14 / (2 b)))
l = OrthogonalLine(H, j)
m = OrthogonalLine(T1, j)
A = Intersect(l, j)
B = Intersect(m, j)
n = Segment(A, H)
p = Segment(T1, B)
T6: "f(x) = a sin( b(x-c) ) + d = " + a + " sin( " + b + "(x - " + c + ") ) +" + d