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Answer :

The cosine function has the following property:

[tex]\cos (x+\pi)=-\cos (x)\text{.}[/tex]

In this problem, we have:

[tex]\cos (x)=\frac{\sqrt[]{3}}{2}\Rightarrow\cos (x+\pi)=-\frac{\sqrt[]{3}}{2}\text{.}[/tex]

Answer

[tex]-\frac{\sqrt[]{3}}{2}[/tex]

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