r = 1

Tan Graph

180°

90°

270°

360°

tanα = \frac{Opp}{Adj}

Unity Circle

=\frac{{Y_c}}{X_c}

Tangent Graph

A = Intersect(xAxis, yAxis)
B = Intersect(c, xAxis, 2)
C = Point(c)
a = OrthogonalLine(C, xAxis)
r = Segment(C, A)
D = Intersect(a, xAxis)
y_c = Segment(D, C)
X_c = Segment(A, D)
α = Angle(B, A, C)
S_x: x(C)
S_y: y(C)
Tangent: (α + 1, S_y / S_x)
G = (7.285141151972327, -0.003535777580595528)
b = Line(B, G)
H = (2.571267734427657, 1.0162522408862043)
g = OrthogonalLine(H, b)
J = (4.137259409396123, 0.02623905507536943)
h = OrthogonalLine(J, b)
I = (5.727098673323498, -1.0009926715554216)
i = OrthogonalLine(I, b)
E = Intersect(b, r)
K = Point(c)
L = Point(c)
j = Line(L, K)
d = Segment(C, Tangent)
F = (7.258113884485561, 0.664164844729419)
e = OrthogonalLine(F, b)
Text2: "=\frac{" + (LaTeX[S_y]) + "}{" + (LaTeX[S_x]) + "}"
f = false