Answer
$x=-\frac{\sqrt 3}{ 2}$
Work Step by Step
Given: $6$ $arccos$ $x=5\pi$
$arccosx=\frac{5\pi}{6}$ (Divide by 6)
Apply definition of arccosine.
$x=cos(\frac{5\pi}{6})$
Hence, $x=-\frac{\sqrt 3}{ 2}$
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