Right Triangle Invariants

ABC is a right triangle. Drag the vertices to change the angle measures.

1. Record several more measures of angles A and B in the spreadsheet. 2. What happens to the individual angle measures when a vertex is dragged? What happens to the sum of the acute angles when a vertex is dragged?  3. Find sin(A) and cos(B) in the spreadsheet (FILL DOWN within each column). What do you notice? Can you explain why this is so? 4. Optional: Drag the left bar of the spreadsheet to reveal columns F and G and FILL DOWN in those columns. What is the result for ? Why do you think this occurs?