Period of the function
`f(x)=sin((x)/(2))cos [(x)/(2)]-cos((x)/(2))sin[(x)/(2)]`, where [.] denotes the greatest integer function, is _________.

Answer

2

Explanation

`f(x)=sin((x)/(2))cos [(x)/(2)]-cos((x)/(2))sin[(x)/(2)]`
` =sin((x)/(2)-[(x)/(2)])`
`=sin({(x)/(2)})`
` :. " period of " f(x), T=2`