Find the unit tangent vector to the curve defined by F(t) = (5 cos(t), 5 sin(t), 2 sin²(t)) at t = 5 2(³4)-(-2√132/13√² ) × 26 r(t) = 3T 4 y(t) = 3π Use the unit tangent vector to write the parametric equations of a tangent line to the curve at t = 4 z(t) = = CT 5 2 5 2√ 13 5 5 √2 2√13 26 5 t X X X

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