## Find t in a Parametric Equation

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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Mentor
 Quote by Jimerd 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 .

 Tags calculus, math and physics, vector calculus
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