Unit Circle Investigation

The goal of this activity is to determine what the ordered pair (a, b) measures in a unit circle (a circle with a radius of one). 1) Click the animate arrow. 2) Click the Triangle box. 3) Use the triangle to determine what a represents and what b represents. Pause the animation if necessary. 4) Click the "sin x=" and "cos x =" boxes to check your understanding. 5) How could you determine tan x from the ordered pair (a, b)? Check you understanding by clicking the "tan x =" box 6) Is there a limit to the size or direction of the rotation (x or input)? 7) Is there a limit to the sine or cosine ratios (output)?