10.1 Parametric Equations

Example (i)

ParametricPlot[{(t^2)+1,t-1},{t,-3,3}]

ContourPlot[x==(((y+1))^2)+1,{x,-.5,10.5},{y,-4.5,2.5}]

Example (ii)

ParametricPlot[{3Cos[t],3Sin[t]},{t,0,2Pi}]

Example (iii)

ParametricPlot[{t-Sin[t],1-Cos[t]},{t,0,5Pi}]

Example (iv)

ParametricPlot[{2Cos[t],3Sin[t]},{t,0,2Pi}]