You are given the polar curve


(a) List all of the points where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of and limit yourself to and If two or more points share the same value of , list those starting with the smallest value of If any blanks are unused, type an upper-case "N" in them.

Point 1: (,)

Point 2: (,)

Point 3: (,)


(b) List all of the points where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of and limit yourself to and If two or more points share the same value of , list those starting with the smallest value of If any blanks are unused, type an upper-case "N" in them.

Point 1: (,)

Point 2: (,)

Point 3: (,)

You can earn partial credit on this problem.