(a) Find the unit vectors that are parallel to the tangent line to the curve y = 2 sin(x) at the point (?/6, 1). (Enter your answer as a comma-separated list of vectors.) (b) Find the unit vectors that are perpendicular to the tangent line.
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First, we need to find the derivative of the function y = sin(x) to find the slope of the tangent line at the given point. Show more…
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(a) Find the unit vectors that are parallel to the tangent line to the curve $ y = 2 \sin x $ at the point $ (\frac{\pi}{6}, 1) $. (b) Find the unit vectors that are perpendicular to the tangent line. (c) Sketch the curve $ y = 2 \sin x $ and the vectors in parts (a) and (b), all starting at $ (\frac{\pi}{6}, 1) $.
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