(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.
(c) Sketch the curve y = 8 sin x and the vectors in parts (a) and (b), all starting at (π/6, 4).