Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter.

Mathematics

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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (5 tan t)i - (9 sin t)j + (8 cos2 t)k ; t0 =

A. x = 10 + 5t, y = - - t, z= -8 + 4t
B. x = 5 + 10t, y = - - t, z = 8 - 8t
C. x = 5 + 10t, y = - + t, z = 4 + 8t
D. x = 5 + 10t, y = - - t, z = 4 - 8t