Sine, Cosine, Tangent 0 - 90°

Topic:
Cosine, Sine
Control the angle at the centre. Notice how the red, green, blue line segments get bigger/smaller. At what angle does the green line segment become longer than the red line segment? At what angle does the blue line segment become longer than the red line segment? Given that the angle permitted ranges from zero to 90°, whats the shortest/longest green line segment? What's the shortest/longest red line segment? What's the shortest/longest blue line segment? How many right angled triangles are in the diagram? What does Pythagoras' say about those right angled triangle(s)?