The exact value of (\cos\left(\frac{\pi}{3}\right)) is (\frac{1}{2}). Consequently, the values of the other trigonometric functions are as follows: (\sin\left(\frac{\pi}{3}\right) = \frac{\sqrt{3}}{2}), (\tan\left(\frac{\pi}{3}\right) = \sqrt{3}), (\sec\left(\frac{\pi}{3}\right) = 2), (\csc\left(\frac{\pi}{3}\right) = \frac{2\sqrt{3}}{3}), and (\cot\left(\frac{\pi}{3}\right) = \frac{1}{\sqrt{3}}).
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