Interact with this applet for a minute or two. Then answer the questions that follow.

Directions:
1) Write the measure of the blue angle as an inverse trigonometric function evaluated at a certain ratio.
2) Write the measure of the green angle as an inverse trigonometric function evaluated at a certain ratio.
3) Write the measure of the pink angle as an inverse trigonometric function evaluated at a certain ratio.
4) Write an identity that expresses the relationship among your responses to the first 3 questions.