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Find t in a Parametric Equation

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Jimerd
#1
Feb27-12, 08:24 PM
P: 5
1. The problem statement, all variables and given/known data
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 6 cos t, y = 6 sin t, z = 6 cos 2t; (3√3, 3, 3)

2. Relevant equations



3. The attempt at a solution

So I understand that r(t)= 6cost t, 6sint, 6cos2t

and r'(t)= -6sint, 6cost, -12sin2t

So here is the questions, how do I find what the value of t is at points (3√3, 3, 3)
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SammyS
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Feb27-12, 08:35 PM
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Quote Quote by Jimerd View Post
1. The problem statement, all variables and given/known data
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 6 cos t, y = 6 sin t, z = 6 cos 2t; (3√3, 3, 3)

2. Relevant equations

3. The attempt at a solution

So I understand that r(t)= 6cost t, 6sint, 6cos2t

and r'(t)= -6sint, 6cost, -12sin2t

So here is the questions, how do I find what the value of t is at points (3√3, 3, 3)
Solve (6cost t, 6sint, 6cos2t) = (3√3, 3, 3) for t .


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