Question

Consider the tangent line to the curve $y = 10\sin(x)$ at the point $(\frac{\pi}{6}, 5)$. (a) Find the unit vector that lies in the first quadrant that is parallel to the tangent line. \boxed{} i + \boxed{} j (b) Find the unit vector that lies in the fourth quadrant that is perpendicular to the tangent line. \boxed{} i + \boxed{} j (c) Sketch the curve $y = 10\sin(x)$ and the vectors in parts (a) and (b), all starting at $(\frac{\pi}{6}, 5)$. (Do this on paper. Your instructor may ask you to turn in this work.)

          Consider the tangent line to the curve $y = 10\sin(x)$ at the point $(\frac{\pi}{6}, 5)$.
(a) Find the unit vector that lies in the first quadrant that is parallel to the tangent line.
\boxed{} i + \boxed{} j
(b) Find the unit vector that lies in the fourth quadrant that is perpendicular to the tangent line.
\boxed{} i + \boxed{} j
(c) Sketch the curve $y = 10\sin(x)$ and the vectors in parts (a) and (b), all starting at $(\frac{\pi}{6}, 5)$. (Do this on paper. Your instructor
may ask you to turn in this work.)

Consider the tangent line to the curve y = 10sin(x) at the point ((π)/(6), 5).
(a) Find the unit vector that lies in the first quadrant that is parallel to the tangent line.
i + j
(b) Find the unit vector that lies in the fourth quadrant that is perpendicular to the tangent line.
i + j
(c) Sketch the curve y = 10sin(x) and the vectors in parts (a) and (b), all starting at ((π)/(6), 5). (Do this on paper. Your instructor
may ask you to turn in this work.)

Added by Zachary B.

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