廣義角的正弦與餘弦
Author: 藍邦偉  老師

(1,0)

x

y

P(cosθ,sinθ)

θ

廣義角的正弦與餘弦

P(x,y)=P(cosθ,sinθ)

sinθ= \frac{  \overline{ OR }  }{ \overline{ OP }  } 

O = (0, 0)
u = Vector((x(Corner[1.0]), y(O)), (x(Corner[3.0]), y(O)))
v = Vector((x(O), y(Corner[1.0])), (x(O), y(Corner[3.0])))
A: O + (1.0, 0.0)
θ = 3.6302848441482056 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
B = Rotate(A, θ, O)
a = Segment(O, B)
A_1: 3.0 / 4.0 * O + 1.0 / 4.0 * A
B_1: 3.0 / 4.0 * O + 1.0 / 4.0 * B
d = CircleArc(O, A_1, B_1)
R: (x(B), 0.0)
b = Segment(B, R)
文字7: "=P(cos" + θ + ",sin" + θ + ")"
文字8: "=sin" + θ + "=" + (sin(θ))
文字6: "cosθ= \frac{  \overline{ OR }  }{ \overline{OP  }  } =cos" + θ + "=" + (cos(θ))
T_1 = Corner(1.0)
T_4 = Corner(4.0)
T_2: 0.67 * Corner[1.0] + 0.33 * Corner[2.0]
T_3: 0.67 * Corner[4.0] + 0.33 * Corner[3.0]
多邊形1, t_1, t_2, t_3, t_4 = Polygon(T_1, T_2, T_3, T_4)
e = Segment(T_2, T_3)
c = Circle(O, 1.0)
f = Segment(O, R)