(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I am given a space curve r(t)= t i + sin(t) j and point (pi/2,1). They ask me to find an equation for the circle of curvature.

2. Relevant equations

Kappa, T, N, not sure

3. The attempt at a solution

So I have found the radius of curvature which is row= 1/kappa= 1 at the given point. I have also found out T which is the unit tangent vector. Do I have to find the unit normal vector also ?

How do I write the equation ? will it just be (x-pi/2)^2 + (y-1)^2 = 1 ??

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# Circle of Curvature

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