Trig ii

We have to find $tan^2\theta$ $-1$

We know $tan^2 \theta$ $=$ $sec^2\theta$ $-1$

$tan^2\theta$ $-1$ = $sec^2\theta$ $-2$

But we know $sec^2\theta$ + $sec\theta$ $=2$

$sec^2\theta$ $=$ $2-sec\theta$

$tan^2\theta$ $-1$ $=$ $sec^2\theta$ $-2$

$=$ $2-sec\theta$ $-2$ $=$ $\boxed{ -sec\theta }$