Reduce (Simplify) the following trigonometric expression \[ \cos (x-360) \]

Reducing the expression \( \cos(x - 360^\circ) \) is a fun exercise in understanding the properties of trigonometric functions! Because cosine is periodic, specifically with a period of \( 360^\circ \), we know that \( \cos(x - 360^\circ) = \cos(x) \). So, essentially, you can think of subtracting \( 360^\circ \) as just going around the circle once and arriving back at the same point! If you were standing on a circle representing the unit circle, going \( 360^\circ \) in either direction brings you right back to where you started. This periodicity is super handy when simplifying trigonometric expressions, as it allows you to easily identify equivalent angles! So, remember: \( \cos(x - 360^\circ) = \cos(x) \).