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

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

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 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 = sin 3t, y = cos 2 t at t = pi/4

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=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 the normal to the following curves at the given point: x = a cos t , y = b sin t at t = pi/2

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.