Consider the helix r(t)=⟨cos(7t),sin(7t),−1t⟩. Compute, at t=π6:
2 answers:
Consider the helix below:

We have to determine the value of helix at t = 
So, 
=
Consider 
Consider 
So, the value of helix
.
We have been given the parametric equation of a Helix as shown below:

We are required to find the value of this helix at
.
We can do that by substituting
in the given helix equation:

Upon simplifying this further by using the values of trigonometric ratios, we get:

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<span>2(4/2)^2 - 15 + 6
= </span><span>2(2)^2 - 15 + 6
= </span><span>2(4) - 15 + 6
= 8 - 15 + 6
= -1</span>
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