Chapter 11, Problem 7P

In rectangular coordinates the equation of the hyperbola shown in the figure is given by:

x²-y²=1

(a) Use MATLAB to show that in parametric form the equation of the hyperbola can be written as:

$x=\frac{t^2+1}{t^2-1}$ and $y=\frac{2t}{t^2-1}$

(b) Make a plot of the hyperbola for the domain shown in the figure by using the ezplot command.