Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $ 52000 in February and a minimum of about $ 22000 in August. Suppose the months are numbered 1 through 12, and write a function of the form $f(x)=A\sin(B \left [ x-C \right ] )+D$ that models the boutique's revenue during the year, where $x$ corresponds to the month.
If needed, you can enter $\pi$=3.1416... as 'pi' in your answer.

$f(x) =$