How it works ?
This applet was designed to serve as a “check”, so to speak, for you when finding the derivative, dy/dx, of a polar function at a certain point (t, r(t)).
To move the tangent line along the function’s graph, simply drag the t-slider provided in the upper left hand corner.
When inputting t values expressed in terms of pi, simply type “pi” for pi. For example, to input 2pi/3, type “2pi/3”. The fraction textbox will display your result. (The highest t-value you can input is 2pi.)
One more thing:
The fraction text (containing the pi factor) is only accurate if you use the input box to input a value written as a “ratio*pi”. Otherwise, this value is approximate (just like the displayed decimal approximation.)