1. ## Calculus help

Find parametric equations for the tangent line at the point
on the curve

2. Find the parametric equation of the line tangent to

$r(t)=cos(t)i+sin(t)j+tk$ at the point $t=\frac{\pi}{3}$.
$r'(t)=-sin(t)i+cos(t)j+k$

$||r'(t)||=\sqrt{sin^{2}(t)+cos^{2}(t)+1}=\sqrt{2}$

The unit tangent vector is:

$T(t)=\frac{r'(t)}{||r'(t)||}$

Then sub in $t=\frac{\pi}{3}$

Use the direction numbers and the point $(x_{1},y_{1},z_{1})$ to find the parametric equations of the line.

3. what points am i supposed to se for (x, y, z)? Thanks!