直線斜率與正切函數的關係
Author: 藍邦偉  老師

θ

P(x,y)

正切與直線斜率

$m= \frac{y}{x} $

O: 0.5 * (Corner[1] + Corner[3])
u = Vector((x(Corner[1]), y(O)), (x(Corner[3]), y(O)))
v = Vector((x(O), y(Corner[1])), (x(O), y(Corner[3])))
θ = 5.703735995517469 rad (slider from 0*° to 6.283185307179586, step 0.1*°)
a: y - y(O) = tan(θ) * (x - x(O))
A: O + (1, 0)
B: O + (cos(θ), sin(θ))
c = CircleArc(O, A, B)
P: O + (3 * cos(θ), 3 * sin(θ))
文字1: "=tan" + (LaTeX[θ]) + "=" + (LaTeX[FractionText[Slope[a]]]) + ""