Cosx=1

The equation \(\cos(x) = 1\) can be solved for \(x\) by recognizing the values of \(x\) where the cosine function equals 1.

The cosine function equals 1 at:

\[ x = 2\pi n \]

where \(n\) is any integer (i.e., \(n \in \mathbb{Z}\)).

Thus, the general solution for the equation \(\cos(x) = 1\) is:

\[ x = 2\pi n \quad (n \in \mathbb{Z}) \]

This means the solutions repeat every \(2\pi\) radians.