$斜邊$

$對邊$

$鄰邊$

$θ$

$ A $

$ B $

$ C $

$ 銳角三角函數的定義 $

1

$ 顯示所有 $

O = (3.98, 1.56)
A = (7.78, -0.52)
c_1 = Circle(O, A)
C = Point(c_1)
B = Mirror(C, O)
a = Segment(C, B)
c = Segment(A, B)
b = Segment(A, C)
α = Angle(C, A, B)
tri, c_2, a_1, b_1 = Polygon(A, B, C)
θ = Angle(A, C, B)
G: 1 / 3 * (A + B + C)
u = Vector(G, A)
v = Vector(G, B)
w = Vector(G, C)
D = Midpoint(B, A)
E = Midpoint(B, C)
F = Midpoint(C, A)
z = Vector(G, D)
d = Vector(G, E)
e = Vector(G, F)
text2: "$  對邊\;c=" + (LaTeX[c]) + "$"
text3: "$ 鄰邊\;b=" + (LaTeX[b]) + " $"
text1: "$ 斜邊\; a=" + (LaTeX[a]) + "$"
text5: "$ \left\lbrace\begin{array}{ll} 餘切函數\;cotθ=\frac{b\;(鄰邊)}{c\;(對邊)}=\frac{" + (LaTeX[b]) + "}{" + (LaTeX[c]) + "}=" + (LaTeX[cot(θ)]) + " \\ 正割函數\;secθ=\frac{a\;(斜邊)}{b\;(鄰邊)}=\frac{" + (LaTeX[a]) + "}{" + (LaTeX[b]) + "} =" + (LaTeX[sec(θ)]) + "\\ 餘割函數\; cscθ=\frac{a\;(斜邊)}{c\;(對邊)}=\frac{" + (LaTeX[a]) + "}{" + (LaTeX[c]) + "}=" + (LaTeX[csc(θ)]) + "\end{array}   \right.\  $"
f: text5 ≟ true
g: text5 ≟ true
h: text5 ≟ true
i: text5 ≟ true
j: text5 ≟ false
k: text5 ≟ true
l: text5 ≟ false
m: text5 ≟ true
n: text5 ≟ false
o: text5 ≟ true
p: text5 ≟ false
q: text5 ≟ true
r: text5 ≟ false
s = true
text4: "$ \left\lbrace \begin{array}{ll} 正弦函數\;sinθ=\frac{c\;(對邊)}{a\;(斜邊)}=\frac{" + (LaTeX[c]) + "}{" + (LaTeX[a]) + "}=" + (LaTeX[sin(θ)]) + " \\ 餘弦函數\;cosθ=\frac{b\;(鄰邊)}{a\;(斜邊)}=\frac{" + (LaTeX[b]) + "}{" + (LaTeX[a]) + "}=" + (LaTeX[cos(θ)]) + " \\正切函數\; tanθ=\frac{c\;(對邊)}{b\;(鄰邊)}=\frac{" + (LaTeX[c]) + "}{" + (LaTeX[b]) + "}=" + (LaTeX[tan(θ)]) + " \end{array}  \right.\  $"