I would like to prove that the function
\begin{equation} \sin(2x)+\cos(3x) \end{equation}
is periodic and calculate its period. I tried to replace $x+T$ instead of $x$, and I got:
\begin{equation} \sin(2x)\cos(2T)+\cos(2x)\sin(2T)+\cos(3x)\cos(3T)-\sin(3x)\sin(3T) \end{equation}
From this point I do not know how to continue. Any suggestions, please?
Thank you very much