P=(-4;150°)

θ=150°

r=-4

r_n=-r

y= - 4 sin(150°)

x= - 4 \cos(150°)

y= -4 \sin(150°)

P=(3.46,2)

P=(-4;150°)

θ

α

θ = 2.6179938779914944 rad (slider from 0 to 6.283185307179586, step 1)
P: (-4; θ)
P_n: (4; θ)
O = (0, 0)
X: (x(P), 0)
X_n: (x(P_n), 0)
α = Angle(X, O, P_n)
β = Angle(P_n, O, X_n)
a = Segment(O, P)
b = Segment(O, P_n)
c = Segment(P_n, X_n)
d = Segment(X_n, O)
e = Segment(O, X)
f = Segment(P, X)
PP = (3.4641016151377535, -2.0000000000000018)
g(x) = cos(x)
h(x) = sin(x)
i = 2.6179938779914944
A: (i, 0)
j = OrthogonalLine(A, xAxis)
B = Intersect(g, j, (2.6179938779914944, -0.8660254037844387))
C = Intersect(h, j, (2.6179938779914944, 0.49999999999999994))
k = Segment(B, A)
l = Segment(A, C)
D = Intersect(h, xAxis, (0, 0))
m = Segment(D, A)
β_2 = Mirror(A, n)
E = Intersect(n, xAxis)
B' = Mirror(B, E)
C' = Mirror(C, n)
p = Segment(β_2, C')
q = Segment(β_2, B')