Plotting Polar Coordinates
Here is an interactive worksheet that will allow you to plot polar functions of the form .
Try entering different functions into the input box in the top left hand corner. I would suggest looking at functions like , , where .
You may need to use the symbol on the right of the input box to insert a in your function. When you have typed in your function press enter, you can then move the slider (in blue) to vary the size of .
Now answer these questions
What generalisations can you make from what you have discovered?
Look specifically at curve with the equation where
- What if ?
- What if ?
- What if ?