Curseur α = α_1

Sinus et cosinus d'angles
supplémentaires dans le cercle 
trigonométrique

Martin Deslauriers
Enseignant - FGA -CSPO
Juin 2013

A_1 = Intersect(xAxis, yAxis)
B_1 = Point(xAxis)
c = Circle(A_1, B_1)
a = Segment(A_1, B_1)
α_1 = 0.767944870877505 rad (slider from 0 to 90*°, step 1*°)
b = Segment(A_1, B_1)
B' = Rotate(B_1, α_1, A_1)
A = Angle(B_1, A_1, B')
d = Segment(A_1, B')
B'_1 = Rotate(B_1, 180° - α_1, A_1)
B = Angle(B_1, A_1, B'_1)
e = Segment(B'_1, A_1)
γ: A + B
texte1: "A = " + A + ""
texte2: "B = " + B + ""
f = Line(B', yAxis)
C = Intersect(f, a)
g = Segment(B', C)
SinA: sin(A)
sinB: sin(B)
CosA: cos(A)
CosB: cos(B)
h = Line(B', a)
D = Intersect(h, yAxis)
i = Segment(D, B')
j = Segment(B'_1, D)
k = Line(B'_1, yAxis)
E = Intersect(k, xAxis)
l = Segment(B'_1, E)
F = Midpoint(B', C)
texte6: "sin " + A + " = " + SinA + ""
G = Midpoint(B'_1, D)
H = Midpoint(B'_1, E)
I = Midpoint(D, B')
texte7: "cos " + A + " = " + CosA + ""
texte8: "cos " + B + " = " + CosB + ""
texte9: "sin " + B + " = " + sinB + ""
texte3: "Curseur ∠A = " + A + ""
texte5: "∠A + ∠B = " + γ + ""
texte10: "∠B = 180° - ∠A = " + B + ""