廣義三角函數的幾何意義(1)
Author: 藍邦偉 老師
Date: 1 1 月 2013

y=sinx,y=cosx,y=tanx的幾何意義

tanθ

$ 廣義三角函數的幾何意義(1) $

$ sinθ $

$ sinθ $

$ cosθ $

$ cosθ $

$ cosθ $

$ cosθ $

$ tanθ $

$ tanθ $

$θ$

1

2

3

$ sinθ $

$ cosθ $

$ tanθ $

A = Intersect(xAxis, yAxis)
c = Circle(A, 1)
B = Point(c)
θ = 5.482079180514189 rad (slider from 0 to 6.283185307179586, step 0.1*°)
B' = Rotate(B, θ, A)
a = Ray(A, B')
b = OrthogonalLine(B', xAxis)
d = OrthogonalLine(B, xAxis)
C = Intersect(b, xAxis)
sinθ = Segment(B', C)
cosθ = Segment(A, C)
D = Intersect(a, d)
tanθ_1 = Segment(D, B)
E = Intersect(e, a)
F = Intersect(xAxis, e)
tanθ = Segment(F, E)
α = Angle(B, A, B')
G, H = Intersect(c, yAxis)
f = Line(G, xAxis)
J = Intersect(g, a)
β = Angle(B', C, A)
γ = Angle(D, B, A)
δ = Angle(E, F, A)
ε = Angle((1, 0), A, B')
h = false
i = false
j = false
poly1, b', a_1, c_1 = Polygon(A, C, B')
poly2, b_1, d_1, a_2 = Polygon(D, A, B)
poly3, a_3, e_1, f_1 = Polygon(E, F, A)