Question 173
Solve the equation
$$
\operatorname{ctg}[x] \cdot \operatorname{ctg}\{x\} = 1,
$$
where $[a]$ is the integer part of $a$, and $\{a\} = a - [a]$.
$$
\operatorname{ctg}[x] \cdot \operatorname{ctg}\{x\} = 1,
$$
where $[a]$ is the integer part of $a$, and $\{a\} = a - [a]$.