Find the domain of function $f(x)=\frac{1}{\sqrt{\{\sin x\}+ \{\sin(π-x)\}}}$, where {.} denotes the fractional part function. 

$n∈I$

$f(x)=\frac{1}{\sqrt{\{\sin x\}+ \{\sin(π-x)\}}}=\frac{1}{\sqrt{\{\sin x\}+ \{-\sin x\}}}$

Now, $\{\sin x\}+ \{-\sin x\}=\left\{\begin{matrix}0,&\sin x\,is\,an\,integer\\1,&\sin x\,is\,not\,an\,integer\end{matrix}\right.$

For f(x) to get defined,

$\{\sin x\} + \{-\sin x\} ≠0$

or $\sin x$ ≠ integer

or $\sin x ≠±1, 0$

or $x≠\frac{nπ}{2},\,n∈I$