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Exploring Sines: Another Key Triangle Relationship

In the app below, the points A, B, and C are draggable.

In the input bar on the left side, find the values of the following ratios. (See if you can find where the Greek letters are!) 

Now move A, B, and C around in the app above. What do you notice about the values of these ratios?

Now move A, B, and C around in the app above. WHAT ELSE do you notice about the values of these ratios? Describe!