Sinθ

Cosθ

Tanθ

Cosecθ

Secθ

Cotθ

Basic Trigonometric Ratios

AdjacentSide = 3 (slider from 1 to 30, step 1)
A = Intersect(xAxis, yAxis)
B = Point(Circle[A, AdjacentSide])
OppositeSide = 5 (slider from 1 to 30, step 1)
c = Circle(A, OppositeSide)
E = Point(Circle[A, AdjacentSide])
f = Segment(A, E)
E' = Rotate(E, 90°, A)
α = Angle(E, A, E')
g = Ray(A, E')
C = Intersect(c, g)
h = Segment(A, C)
i = Segment(C, E)
θ = Angle(C, E, A)
cosθ: f / i
sinθ: h / i
tanθ: h / f
secθ: i / f
text2: "Sinθ=\frac{opposite side}{hypotenuse}=\frac{ " + (LaTeX[h]) + "}{" + (LaTeX[i]) + "}=" + (LaTeX[sinθ]) + ""
text1: "Cosθ=\frac{adjacent side}{hypotenuse}=\frac{" + (LaTeX[f]) + " }{" + (LaTeX[i]) + "}=" + (LaTeX[cosθ]) + " "
text3: "Tanθ=\frac{opposite side}{adjacent side}=\frac{ " + (LaTeX[h]) + "}{ " + (LaTeX[f]) + "}=" + (LaTeX[tanθ]) + ""
cosecθ: i / h
cotθ: f / h
text4: "Cosecθ=\frac{hypotenuse}{opposite side}=\frac{ " + (LaTeX[i]) + "}{ " + (LaTeX[h]) + "} =" + (LaTeX[cosecθ]) + "  "
text6: "Cotθ=\frac{adjacent side}{opposite side}=\frac{ " + (LaTeX[f]) + "}{ " + (LaTeX[h]) + "}=" + (LaTeX[cotθ]) + "  "
text5: "Secθ=\frac{hypotenuse}{adjacent side}=\frac{" + (LaTeX[i]) + " }{ " + (LaTeX[f]) + "} =" + (LaTeX[secθ]) + "  "
a = false
b = false
d = false
e = false
j = false
k = false