Answer
$\sin$$^{2}$ 225$^{\circ}$ + $\cos$$^{2}$ 225$^{\circ}$ = 1
Work Step by Step
$\sin$$^{2}$ 225$^{\circ}$ + $\cos$$^{2}$ 225$^{\circ}$
$\sin$ 225$^{\circ}$ = -$\sin$ 45 = $\frac{-\sqrt2}{2}$
$\cos$ 225$^{\circ}$ = -$\cos$ 45 = -$\frac{-\sqrt2}{2}$
Therefore:
= ($\frac{-\sqrt2}{2}$)$^{2}$ + ($\frac{-\sqrt2}{2}$)$^{2}$
= ($\frac{2}{4}$) + ($\frac{2}{4}$)
= 1
$\sin$$^{2}$ 225$^{\circ}$ + $\cos$$^{2}$ 225$^{\circ}$ = 1
