Question

Find unit tangent and unit normal of:

r(t)=<2sin(t), 5t, 2cos(t)>

Answer 1

seems like an eerily familiar problem

Answer 2

We should probably, begin by finding the the velocity function since it is tangent to the position function

Answer 3

after differentiating we obtain:
v(t)=<2cost,5,-2sint>
Now we have to find the magnitude of V.
Sqrt(4cos^2t+25+4sin^2t>
Which simplifies to : sqrt(4+25)-->sqrt(29)

Answer 4

So, the unit tangent is give by v/lvl, thus we have: