Answer
$-1$
Work Step by Step
We need to compute $\cos 180^{\circ} -\sin 180^{\circ}$.
We use the unit circle values ($\cos{180^{\circ}}=-1$ and $\sin{180^{\circ}}=0$) to simplify as follows:
$\cos 180^{\circ} -\sin 180^{\circ} \\=-1-0 \\=-1$