Question

find the radius of curvature of the curve x=alog(sect+tant),y=asect​

Answer 1

Answer:

The Radius of the Curvature is asec^2t

Step-by-step explanation

Find the radius of curvature of the curve x = a log (sec t + tan t), y = a

5.0/5

2

Answer:

The Radius of the Curvature is asec^2t

Step-by-step explanation:

As Given:

x=a log (sec t +tan t)

solving,

As the component is given , curvature is along x-axis hence finding the y-component.

x=a sec t ,also y=a sec giving dy/dt=a sect tant

differntiating with respect to x,

Calculating Radius of Curvature by Cartesian Formula:

hope you like it