



 
Hi Russell, To find the equation of the tangent line you need the x and y coordinates of a point on the line and its slope. The point is described by t_{0} = 1 and hence you can find the x and y coordinates by substituting t = 1 into the equations for x and y. The slope of the tangent line at the point is dy/dx at that point. You can find dy/dx using Thus find dy/dt and dx/dt. Form dy/dx and simplify. Substitute t = 1 to find the slope of the tangent at the point. Now that you have the x and y coordinates of a point on the line and its slope write its equation. Harley  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 