Answer
$-\frac{\sqrt3}{2}$
Work Step by Step
Using the given formula and the known values: $\cos(\frac{5\pi}{6})=\cos(\frac{\pi}{2})\cos(\frac{\pi}{3})-\sin(\frac{\pi}{2})\sin(\frac{\pi}{3})=(0)(0.5)-1(\frac{\sqrt3}{2})=-\frac{\sqrt3}{2}$
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