Drag point A to different positions. Use the checkboxes inside the applet to show or hide the rectangular and polar coordinate representations. Observe how the coordinate values change as the point moves.
Explore and Investigate
Use the applet to investigate the following questions.
- Drag point A to different locations. How do the rectangular coordinates (x, y) and the polar coordinates (r, θ) change as the point moves?
- Compare the rectangular and polar coordinates of point A. What relationship can you identify between x, y, r and θ?
- Move point A into different quadrants and onto the coordinate axes. What patterns do you notice in the signs of x and y and in the value of θ?