Find the equations of the tangent and the normal to the curve `x=a t^2,\ \ y=2a t` at `t=1` .

Find the equations of the tangent and the normal to the curve x=asect ,\ \ y=btant at t .

Find the equations of the tangent and normal to the curve x = a sin 3t, y = cos 2 t " at " t = (pi)/(4)

Find the equations of the tangent and the normal to the curve x y=c^2 at (c t ,\ c//t) at the indicated points.

Find the equations of the tangent and normal to the curve x=sin3t.,y=cos2t at t=(pi)/(4)

Find the equation of the tangents and normal to the curve x= sin 3t, y= cos 2t " at " t=(pi)/(4)

Find the equation of the tangent and the normal at the point 't' on the curve x=a(t+sint), y=a(1-cost)

Find the equations of the tangent and the normal to the following curves at the given point: x = a ( t + sin t ), y = a (1-cost) at t = pi/2

Find the equation of the tangent and the normal at the point 't,on the curve x=a sin^(3)t,y=b cos^(3)t

Find the equations of the tangent and the normal at the point ' t ' on the curve x=a\ sin^3t , y=b\ cos^3t .