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). [br]1) Click the animate arrow.[br]2) Click the Triangle box.[br]3) Use the triangle to determine what [i]a[/i] represents and what [i]b[/i] represents. Pause the animation if necessary.[br]4) Click the "sin x=" and "cos x =" boxes to check your understanding.[br]5) How could you determine tan x from the ordered pair (a, b)? Check you understanding by clicking the [br] "tan x =" box[br]6) Is there a limit to the size or direction of the rotation (x or input)?[br]7) Is there a limit to the sine or cosine ratios (output)?

Information: Unit Circle Investigation