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Polar and Rectangular coordinates Applet

Drag point A anywhere you would like on the screne. Toggle the "Show Rectangular Coordinates" and the "Show Polar Coordinates" checkboxes to explore the relationship between the polar and rectangular coordinates for point A. Use the "Show Input Box Exploration" to toggle the input box for the rectangular coordinates of Point A and its accompanying polar coordinates. Input the rectangular coordinates for point A to see the given polar coordinates for any point A.
How do rectangular coordinates indicate the location of a point? How do polar coordinates indicate the location of a point? Epress polar coordinates (r, alpha) in terms of rectangular coordinates (x, y). Epress rectangular coordinates (x, y) in terms of polar coordinates (r, alpha).