The length of the tangent at the point `t=pi/2` on the curve `x=(1+sint)` , `y=(1-cost)` is

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

The length of the normal at t on the curve x=a(t+sint), y=a(1-cos t), is

Find the equations of the tangent and the normal to the curve x=theta+sintheta , y=1+costheta at theta=pi//2 at indicated points.

Find the equation of the tangent at t=(pi)/(4) to the curve : x=sin 3t, y = cos 2t.

Find the solpe of tangent at point (1, 1) of the curve x^(2)= y .

The length of tangent at a point P(x_(1),y_(1)) to the curve y=f(x) ,having slope m at P is

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is