I have a curve Tractrix: x(t)=1/cosht,y(t)=t-tanht

how I do?

• Find the length of the tangent line from the tangent point to the asymptote
• find the area between the curve and its asymptote
• find the length of the curve from x-axis to a point on the curve
• find the slope of the tangent line at any point along the curve

I hope you can help , its very important to me

kawakib