A smooth curve C is defined by some vector function R(t) with R (7) = (1, 0, −2) and R¹(t) = (2, √5 csc t, 2 cott) for all t € (0,7) TT 2 1. Give a vector equation of the line tangent to C at the point where t = 2. Find the moving trihedral of C for all t € (0, π). 3. Reparametrize the unit tangent vector T(t) using the arc length as parameter starting from t = 1.

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