Definition of SineCosineTangent
Author: John Maharry
Date: 05/05/08

Drag the value of "theta" to move the point around the circle. The graph draws the points on the sine and cosine curve. You can also draw tangent, but right clicking on 'tan' in the objects list and clicking 'show object'.

Sin(angle) = y-value of point on circle

Cos(angle) = x-value of point on circle

Tan(angle) = y / x   = slope of line to center of circle

Csc(angle) = reciprocal of sin

Sec(angle) = reciprocal of cos

Cot(angle) = reciprocal of tan

Drag the value of θ to draw the graphs. This is the 
value of the angle and the x-coordinage on the graph.

Hit  'ctrl-F'  to clear the traces

g(x) = sin(x)
B = (-3, 0)
C = (-3, 1)
e = Circle(B, C)
θ = 0 (slider from -6.28 to 6.28, step 0.0010)
A: (cos(θ) - 3, sin(θ))
a = Segment(B, A)
Sin: (θ, sin(θ))
b = OrthogonalLine(A, xAxis)
E = Intersect(b, xAxis)
d = Segment(E, A)
cos: (θ, cos(θ))
G = Intersect(d, xAxis)
f = Segment(G, B)
tan: (θ, tan(θ))
csc: (θ, 1 / sin(θ))
cot: (θ, 1 / tan(θ))
sec: (θ, 1 / cos(θ))