Find an equation for the circle of curvature of the curve

Chapter 12, Problem 21E

(choose chapter or problem)

Find an equation for the circle of curvature of the curve \(r(t)=t i+(\sin t) j\) at the point \((\pi / 2,1)\). (The curve parame- trizes the graph of \(y=\sin x\) in the \(xy-plane\).)

Equation Transcription:

Text Transcription:

r(t)=t i + (sin t) j

(pi/2 , 1)

y=sin x

xy-plane
.

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