How do you find the slope of the line tangent to the polar

Solution 2E

Step 1:

 Consider the following polar equation ;

                              r =  f(

The objective is to find the slope of the line tangent to the given polar graph.

We know that the polar point in cartesian coordinates is x = rcos( , y = r sin(                         

The given polar equation is  r = f(

Therefore , the cartesian coordinates  are  given as ;

         x=  f( , y =  f(sin(.

Hence , the parametric form in cartesian coordinates are ;   x=  f( , y =  f(sin(.