Find parametric equations for the tangent line to the curve with the given parametric…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=2cos⁡t,y=2sin⁡t,z=4cos⁡2t;(3,1,2)x = 2 \cos t, y = 2 \sin t, z = 4 \cos 2t; (\sqrt{3}, 1, 2)

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