Determine the exact value of the following trigonometric function without using a calculator.
$\(\cos\[\left\)(\(\frac{7\pi}{12}\]\right\))$

• A. $\(\frac{\sqrt6-\sqrt2}{4}\)$
• B. $\(\frac{\sqrt6+\sqrt2}{4}\)$
• C. $\(\frac{\sqrt2-\sqrt6}{4}\)$
• D. $\(\frac{-\sqrt2-\sqrt6}{4}\)$

Answer: (C)