1. Convert the following polar coordinates into Cartesian coordinates: Head to this Desmos page that has the polar grid with each point overlapping a Cartesian plane so that you can check your work.
2. Convert the following Cartesian coordinates into polar coordinates: Head to this Desmos page that has the polar grid with each point overlapping a Cartesian plane so that you can check your work.
3. For problems one and two, did you produce a formula that allows for quick conversions? If so, prove that it works. If not, see if you can.
4. Produce a spreadsheet that uses your formula to quickly perform conversions.
5. A ship is located at the point (10, 9) on a Cartesian plane map. The ship’s radar (with the ship at the origin) shows an incoming vessel at (7, 3π/4). What the are the Cartesian coordinates of this incoming vessel on the map?

**To be expanded