Find the unit vectors that are perpendicular to the tangent line to the curve y = 8 sin(x) at the point (π/6, 4).
(a) Find the unit vectors that are parallel to the tangent line to the curve y = 8 sin(x) at the point (π/6, 4). (Enter your answer as a comma-separated list of vectors.)
(b) Find the unit vectors that are perpendicular to the tangent line.