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2\cos(-\frac{1}{6}\pi )
Divide 2\pi by 12 to get \frac{1}{6}\pi .
2\cos(\frac{1}{6}\pi )
Use the property \cos(-x)=\cos(x).
2\times \frac{\sqrt{3}}{2}
Get the value of \cos(\frac{1}{6}\pi ) from trigonometric values table.
\sqrt{3}
Cancel out 2 and 2.