Trigonometry on the Coordinate Plane

Animation moves the angle from [math]0^{\circ}[/math] to [math]360^{\circ}[/math]. Play button is in the bottom left.

1) How can we draw a right triangle using the origin and the point on the circle? Sketch it. 2) What is the relationship between the angle of the circle and the angle of the right triangle? Is it different in different quadrants? 3) Do the values of the trigonometric functions change when the radius changes? Why or why not? 4) When the radius equals 1, are there any special relationships between the trigonometric function values and the circle? If so, what? 5) How do the values of the trigonometric functions change in different quadrants?