Find the unit tangent vector at the point with the given value of the parameter .

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

Problem

Find the unit tangent vector

\mathbf{T}(t)

at the point with the given value of the parameter

t

\mathbf{r}(t) = \sin^2 t \mathbf{i} + \cos^2 t \mathbf{j} + \tan^2 t \mathbf{k}, t = \pi/4