Use the even-odd properties of the trigonometric functions to find the exact value of the cos(-(pi )/(4)) Select the correct choice below and fill in any answer boxes in your choice. cos(-(pi )/(4))= (Simplify your viswer, including any radicals. Use integers or fractions for ar B. The answer is undefined.

To find the exact value of $\cos \left(-\frac{\pi}{4}\right)$ using the even-odd properties of trigonometric functions, we can use the following property:<br /><br />The cosine function is an even function, which means that $\cos(-x) = \cos(x)$.<br /><br />Therefore, we can rewrite the expression as:<br /><br />$\cos \left(-\frac{\pi}{4}\right) = \cos \left(\frac{\pi}{4}\right)$<br /><br />Now, we need to find the exact value of $\cos \left(\frac{\pi}{4}\right)$.<br /><br />The angle $\frac{\pi}{4}$ is a special angle in the unit circle, and its cosine value is $\frac{\sqrt{2}}{2}$.<br /><br />Therefore, the exact value of $\cos \left(-\frac{\pi}{4}\right)$ is $\frac{\sqrt{2}}{2}$.<br /><br />So, the correct choice is:<br /><br />A. $\cos \left(-\frac{\pi}{4}\right) = \frac{\sqrt{2}}{2}$