( Click on the title "Iceberg" above to hide this information. )
This stack plots functions of the form r = f(a) in polar coordinates, where r is the directed distance from the origin and a is the angle in radians from the initial ray. The initial ray points horizontally to the right and is coincident with the positive x-axis used with rectangular coordinates.
To specify a function, enter its formula in terms of a in the field beside "f(a) =" above.
The domain of the function will be the closed interval [0, 2*pi] by default, but you can change this by clicking "Limit Domain" above and entering appropriate upper and lower limits for either a closed or open interval. Clicking "Limit Domain" again returns the domain to the default [0, 2*pi].
You can change the scale of the graph by clicking any of the "Change Scale" buttons below. Each time you click one of the buttons, their names change so you can set the scale anywhere between 0.0001 and 10000 with multiple clicks. The current scale is displayed to the left of the graph box under "r unit =". The bottom button always returns you to the standard scale, r unit = 1. Changing the scale automatically erases the graph.
To plot the function click "Plot f(a)". You can change f(a) and make multiple plots to compare families of curves if you wish. After you have plotted at least one function, the button "Erase Graph" appears. Click it to get a clean slate.
Clicking on the title "Iceberg" above will hide this information when visible, and otherwise display the authorship of this stack.