Answer
$\cot$$^{2}$ 90$^{\circ}$ - $\sec$$^{2}$ 180$^{\circ}$ + $\csc$$^{2}$ 135$^{\circ}$ = 1
Work Step by Step
$\cot$$^{2}$ 90$^{\circ}$ - $\sec$$^{2}$ 180$^{\circ}$ + $\csc$$^{2}$ 135$^{\circ}$
$\cot$ 90$^{\circ}$ = 0
$\sec$ 180$^{\circ}$ = -1
$\csc$ 135$^{\circ}$ = $\csc$ 135$^{\circ}$(In Quadrant II) =$\sqrt2$
Therefore:
= 0$^{2}$ - (-1)$^{2}$ + ($\sqrt2$)$^{2}$
= -1 + 2
= 1
$\cot$$^{2}$ 90$^{\circ}$ - $\sec$$^{2}$ 180$^{\circ}$ + $\csc$$^{2}$ 135$^{\circ}$ = 1
