Step 1 :Given the function: \(y = \cos{x}\)
Step 2 :The domain of a function is the set of all possible input values (x-values) for which the function is defined.
Step 3 :For the cosine function, it is defined for all real numbers.
Step 4 :\(\boxed{\text{The domain of } y = \cos(x) \text{ is all real numbers (D)}}\)