The coordinates of the points on the curve x=a(SinA+A), y=a(1-CosA), where tangent is inclined an angle Pi/4 to the axis.

In the given question we first differentiate x=a(sinA+A) and y=a(1-cosA) w.r.t `A` : dx/dA=a(cosA -1) ; and dy/dA=a(sinA) now dy/dx = sinA/(cosA-1) = 1 Thus, cosA - sinA=1 From this find the value of A. Put it in x,y equation to get the points. Thanks & Regards Sunil Kumar, askIITians Faculty M.Sc., IIT Kharagpur