I attached the a partIn view of a part solve ( b and c) part Equation of curvature of a curve y=f(x)k=\ f” ( 2 ) \(1+|ƒ² (x) | ²) ž3Step2b)Here given curvef(x) = sin xDifferentiating f with respect to xf'(x)= cos x and f"(x)= - sin aSubstituting all values in ksin xsin xk-1+ cos x 2 (1+cos²x) 2So equation of curvature of givencurvesinxk=3(1+cos²x)2 Questiona) (What is the equation for curvature for the curve y = sin(x) ?What is the curvature of the curve y = sin(x) when x = "/2?b)c)What is the equation of the circle of curvature for the curve y = sin(x) for the point onthe curve corresponding to z = */2?

The equation of the circle of curvature is calculated using the formula: x-x2+y-y2=ρ2, where:…

What is the equation for curvature for the curvey=sin(x)? What is the curvature of the curve y=sin(x) when="/2? What is the equation of the circle of curvature for the curve y=sin(r) for the point on the curve corresponding to r= */2?

What is the equation for curvature for the curvey=sin(x)? What is the curvature of the curve y=sin(x) when="/2? What is the equation of the circle of curvature for the curve y=sin(r) for the point on the curve corresponding to r= */2?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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