You are given the polar curve r = 3 cos(0). (a) List all of the points (r, 0) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of r and limit yourself to r > 0 and 0 ≤ 0 < 2π. If two or more points share the same value of r, list those starting with the smallest value of 0. If any blanks are unused, type an upper-case "N" in them. Point 1: (r, 0) = (3/sqrt2 pi/4 ) Point 2: (r, 0) = (3/sqrt2 , 7pi/4 ) Point 3: (r, 0) = (N N ) (b) List all of the points (r, 0) where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of r and limit yourself to r> 0 and 0 ≤ 0 < 2л. If two or more points share the same value of r, list those starting with the smallest value of 0. If any blanks are unused, type an upper-case "N" in them. Point 1: (r, 0) = (3 0 ) Point 2: (r, 8) = (0 pi/2 ) Point 3: (r, 8) = (3 ) , 2pi

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