Answer
1
Work Step by Step
given the equation $\sin^{2}180+\cos^{2}180$, it should be noted that $\sin180$ is 0 and therefore squaring it also results in a 0.
$\cos180$ on the other hand, is equal to -1 and squaring that value would give 1, therefore $\sin^{2}180+\cos^{2}180=1$
In math terms:
$\sin^{2}180+\cos^{2}180 = 0^{2} + -1^{2}$ $=1$
