Trigonometric Ratios

Trigonometric Ratios

Students often use the acronyn 
SOHCAHTOA to remember the ratios

A = (7, 4)
B = (7, -1)
o = Segment(A, B)
b = OrthogonalLine(B, o)
C = Point(b)
a = Segment(B, C)
poly1, h, a_1, c_1 = Polygon(A, C, B)
α = Angle(C, B, A)
β = Angle(A, C, B)
d: c_1 / h
A_1 = (-2, 2)
B_1 = (-2, -1)
a_2 = Segment(A_1, B_1)
b_2 = OrthogonalLine(B_1, a_2)
C_1 = Point(b_2)
c_3 = Segment(B_1, C_1)
poly1_1, b_3, a_3, c_2 = Polygon(A_1, C_1, B_1)
α_1 = Angle(C_1, B_1, A_1)
β_1 = Angle(A_1, C_1, B_1)
d_1: c_2 / b_3
A_2 = (2.42, 0.68)
B_2 = (2.42, -2.32)
a_4 = Segment(A_2, B_2)
b_4 = OrthogonalLine(B_2, a_4)
C_2 = Point(b_4)
c_5 = Segment(B_2, C_2)
poly1_2, b_5, a_5, c_4 = Polygon(A_2, C_2, B_2)
α_2 = Angle(C_2, B_2, A_2)
β_2 = Angle(A_2, C_2, B_2)
d_2: c_4 / b_5
e: a_1 / h
"sin\theta=\frac{opposite}{hypotenuse}=\frac{" + (FormulaText[c_1]) + "}{" + (FormulaText[b_1]) + "}=" + (FormulaText[d]) + "": "cos(" + (LaTeX[β]) + ")=\frac{adjacent}{hypotenuse}=\frac{" + (LaTeX[a_1]) + "}{" + (LaTeX[h]) + "}=" + (LaTeX[e]) + ""
f: c_1 / a_1
"sin\theta=\frac{opposite}{hypotenuse}=\frac{" + (FormulaText[c_2: "sin(" + (LaTeX[β]) + ")=\frac{opposite}{hypotenuse}=\frac{" + (LaTeX[c_1]) + "}{" + (LaTeX[h]) + "}=" + (LaTeX[d]) + ""
"sin\theta=\frac{opposite}{hypotenuse}=\frac{" + (FormulaText[c_1: "tan(" + (LaTeX[β]) + ")=\frac{opposite}{adjacent}=\frac{" + (LaTeX[c_1]) + "}{" + (LaTeX[a_1]) + "}=" + (LaTeX[f]) + ""