Q. 235.0( 1 Vote )

Find the equation

Answer :

Given: x = 1 – cos θ and y = θ – sin θ


To find: equations of the tangent and the normal to the curve


Formula used:


The equation of tangent is:



The equation of normal is:



Therefore,


x = 1 – cos θ and y = θ – sin θ


Differentiating both with respect to θ:





Now,









At, :




The equation of tangent is:












The equation of normal is:













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