Find the points on the given curve where the tangent line is horizontal or vertical. (Order your answers from smallest to largest r, then from smallest to largest theta.)
r = 1 + cos(theta) 0 ≤ theta < 2
horizontal tangent
(r, theta)=
(r, theta)=
(r, theta)=
vertical tangent
(r, theta)=
(r, theta)=
(r, theta)=