Bizzare Trig Identity?

Topic:
Angles
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.