Answer
$\sin$$^{2}$ 36$^{\circ}$ + $\cos$$^{2}$ 36$^{\circ}$ $\approx$ 1
Work Step by Step
$\sin$$^{2}$ 36$^{\circ}$ + $\cos$$^{2}$ 36$^{\circ}$
Utilizing a calculator:
$\sin$$^{2}$ 36$^{\circ}$ + $\cos$$^{2}$ 36$^{\circ}$ $\approx$ 0.34549150 + 0.65450849
$\sin$$^{2}$ 36$^{\circ}$ + $\cos$$^{2}$ 36$^{\circ}$ $\approx$ 0.99999999
$\sin$$^{2}$ 36$^{\circ}$ + $\cos$$^{2}$ 36$^{\circ}$ $\approx$ 1
Therefore:
$\sin$$^{2}$ 36$^{\circ}$ + $\cos$$^{2}$ 36$^{\circ}$ $\approx$ 1
