2008 CGE

Raons Trigonomètriques directes

α = 0.4188790204786391 rad (slider from 0 to 1.0471975511965976, step 0.017453292519943295)
B = (10.566666666666666, -2.2333333333333334)
A = (1.0666666666666667, -2.2)
a = Ray(A, B)
F = Point(a)
F' = Rotate(F, α, A)
D = Point(a)
c = OrthogonalLine(D, a)
b = Ray(A, F')
E = Intersect(c, b)
d = Distance(D, E)
T2: "catet oposat =" + d
e = Distance(D, A)
T3: "catet adjacent = " + e
f = Distance(E, A)
T4: "hipotenusa =" + f
g = OrthogonalLine(F, a)
G = Intersect(g, b)
h = Distance(F, G)
T5: "catet oposat ' = " + h
i = Distance(F, A)
j = Distance(G, A)
T6: "catet adjacent' =" + i
T7: "hipotenusa' = " + j
k: h / d
T8: "\frac{op'}{op} = " + k
l: i / e
T9: "\frac{ad'}{ad} = " + l
m: j / f
T10: "\frac{hipo'}{hipo} = " + m
n: d / f
o: h / j
p = Segment(D, E)
q = Segment(F, G)
r = Segment(A - (0.0, 1.0), D - (0.0, 1.0))
s = Segment(A, F)
t = Segment(A + (0.0, 1.0), E + (0.0, 1.0))
a1 = Segment(G, A)
β = Angle(G, F, A)
γ = Angle(E, D, A)
δ = Angle(A, G, F)
ε = Angle(A, E, D)
text1: "sin\," + α + "\,= \frac{op}{hipo}=\,\frac{" + d + "}{" + f + "}\,=\,\frac{" + h + "}{" + j + "}\,=\," + (d / f)
text2: "cos\," + α + "\,= \frac{ad}{hipo}=\,\frac{" + e + "}{" + f + "}\,=\,\frac{" + i + "}{" + j + "}\,=\," + (e / f)
text3: "tan\," + α + "\,= \frac{op}{ad}=\,\frac{" + d + "}{" + e + "}\,=\,\frac{" + h + "}{" + i + "}\,=\," + (d / e)
u = false
ζ = Angle(F, A, G)