Rectangular vs Polar Cooridnates Applet
Questions to answer while using Rectangular vs Polar Coordinates Applet:
1) Toggle both "Show Rectangular Coordinates" and "Show Polar Coordinates" on.
2) Notice as you drag point A around, there is always a right triangle. The sides and given angle represent both rectangular and polar coordinates.
3) Toggle "Show Polar Coordinates" off.
4) What can the rectangular coordinates tell you about point A?
5) Now toggle "Show Polar Coordinates" on and "Show Rectangular Coordinates" off.
6) What can the polar coordinates tell you about A?
7) Move point A to a different location and try your conjecture using the new location for point A. Does your conjecture hold?