Section 13.2: Derivatives and Integrals of Vector Functions

Find the unit tangent vector \(\mathbf{T}(t)\) at the point with the given value of the parameter t. \(\mathbf{r}(t) = \sin^2 t \mathbf{i} + \cos^2 t \mathbf{j} + \tan^2 t \mathbf{k}, t=\pi/4\)