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

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