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## Homework Statement

Find the unit vectors that are parallel to the tangent line to the curve y=2sinx at the point ([tex]\pi[/tex]/6, 1). Thereafter, find the unit vectors that are perpendicular to the tangent line.

## Homework Equations

## The Attempt at a Solution

I took the derivative of y=2sinx and got y'=2cosx. Then subbed in [tex]\pi[/tex]/6 and got slope=[tex]\sqrt{3}[/tex]. After this, I was totally confused about what to do next since I don't know how to put the function with respect to i, j. Thanks in advance.