r(x)

K=(θ, r(θ))

θ

r(θ)

P=(r(θ); θ)

r(θ)

θ

P_n=(|r(θ)|;θ)

θ

Ha 2016

c = 3 (slider from -5 to 5, step 0.01)
a = 4 (slider from -5 to 10, step 0.5)
r(x) = (c / 2 * sin((a * x) - π / 2)) + c / 2
θ = 2.65 (slider from -5 to (2 * π) + 2, step 0.05)
K: (θ, r(θ))
T: (x(K), 0)
O: (0, 0)
b = Segment(K, T)
P: (r(θ); θ)
d = Segment(P, O)
A = Point(xAxis)
α = Angle(A, O, P)
P_n = Mirror(P, O)
β = Angle(A, O, P_n)
e = Segment(O, P_n)
anf = 0
end = 6.2
f = CurveCartesian((r(t) * cos(t)), (r(t) * sin(t)), t, anf, end)
Text2: "r(x)=" + (LaTeX[r]) + ""
h(x) = (c * abs(sin((a * x))))
g = CurveCartesian((h(t) * cos(t)), (h(t) * sin(t)), t, 0, end)
i: x = π / 2
p(x) = (3 * sin((a * x))^(2))
j = CurveCartesian((p(t) * cos(t)), (p(t) * sin(t)), t, 0, end)
k = CurveCartesian(((c * sin((a * t))) * cos(t)), ((c * sin((a * t))) * sin(t)), t, 0, end)
q(x) = (c * sin((a * x)))