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