A curve $C\,$ has the parametric equations

$x = \tan^2 t$ , $\cos t$ , where $0<t<π2\displaystyle 0 < t < \frac{\pi}{2}$

Show that a Cartesian equation for $C\,$ is

$y^2(x + 1) = 1$

State, using set notation, the domain and the range of $C$ .

A curve $C\,$ has the parametric equations

$x = \tan^2 t$ , $\cos t$ , where $0<t<π2\displaystyle 0 < t < \frac{\pi}{2}$

Show that a Cartesian equation for $C\,$ is

$y^2(x + 1) = 1$

State, using set notation, the domain and the range of $C$ .

1 Pure Mathematics

1 Pure Mathematics Questions