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2\cos(2\times \frac{1}{6}\pi )
Divide 4\pi by 24 to get \frac{1}{6}\pi .
2\cos(\frac{1}{3}\pi )
Multiply 2 and \frac{1}{6} to get \frac{1}{3}.
2\times \frac{1}{2}
Get the value of \cos(\frac{1}{3}\pi ) from trigonometric values table.
1
Multiply 2 and \frac{1}{2} to get 1.