廣義三角函數的幾何意義(2)
Author: 藍邦偉 老師

y=cotx,y=secx,y=cscx圖形的幾何意義

cotθ

secθ

cscθ

廣義三角函數的幾何意義

A = Intersect(xAxis, yAxis)
c = Circle(A, 1.0)
B = Point(c)
θ = 1.239183768915974 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
B' = Rotate(B, θ, A)
a = Ray(A, B')
d = OrthogonalLine(B, xAxis)
D = Intersect(a, d)
E = Intersect(e, a)
F = Intersect(xAxis, e)
α = Angle(B, A, B')
G, H = Intersect(c, yAxis)
f = Line(G, xAxis)
I = Intersect(a, f)
cotθ_1 = Segment(G, I)
J = Intersect(g, a)
cotθ = Segment(J, H)
secθ_1 = Segment(D, A)
cscθ_1 = Segment(A, I)
secθ = Segment(A, E)
cscθ = Segment(A, J)
u = Vector((x(Corner[1.0]), 0.0), (x(Corner[3.0]), 0.0))
v = Vector((0.0, y(Corner[1.0])), (0.0, y(Corner[3.0])))