Answer
$\sin$$^{2}$ 225$^{\circ}$ - $\cos$$^{2}$ 270$^{\circ}$ + $\tan$$^{2}$ 60$^{\circ}$ = $\frac{7}{2}$
Work Step by Step
$\sin$$^{2}$ 225$^{\circ}$ - $\cos$$^{2}$ 270$^{\circ}$ + $\tan$$^{2}$ 60$^{\circ}$
$\sin$ 225$^{\circ}$ = $\frac{-1}{\sqrt2}$
$\cos$270$^{\circ}$ = 0
$\tan$ 60$^{\circ}$ = $\sqrt3$
Therefore:
= ($\frac{1}{\sqrt2}$)$^{2}$ - 0 + ($\sqrt3$)$^{2}$
= $\frac{1}{2}$ + 3
= $\frac{1 + 6}{2}$
= $\frac{7}{2}$
$\sin$$^{2}$ 225$^{\circ}$ - $\cos$$^{2}$ 270$^{\circ}$ + $\tan$$^{2}$ 60$^{\circ}$ = $\frac{7}{2}$
