## Trigonometry (11th Edition) Clone

$\theta = 135^{\circ}$ $\theta = 225^{\circ}$
$sec~\theta = -\sqrt{2}$ $\frac{r}{x} = -\sqrt{2}$ We can let $x = -1$ and $r = \sqrt{2}$. Then: $y^2 = r^2-x^2$ $y = \pm \sqrt{r^2-x^2}$ $x = \pm \sqrt{(\sqrt{2})^2-(-1)^2}$ $y = 1$ or $y = -1$ If $x = -1$ and $y = 1$, then $\theta$ makes an angle of $45^{\circ}$ above the negative x-axis. Then $\theta = 180^{\circ}-45^{\circ} = 135^{\circ}$ If $x = -1$ and $y = -1$, then $\theta$ makes an angle of $45^{\circ}$ below the negative x-axis. Then $\theta = 180^{\circ}+45^{\circ} = 225^{\circ}$