Finding the period of $f(x) = \sin 2x + \cos 3x$ I want to find the period of the function $f(x) = \sin 2x + \cos 3x$. I tried to rewrite it using the double angle formula and addition formula for cosine. However, I did not obtain an easy function. Another idea I had was to calculate the zeros and find the difference between the zeros. But that is only applicable if the function oscillates around $y = 0$, right? My third approach was to calculate the extrema using calculus and from that derive the period. Does anybody have another approach?
Thanks

Hint
The period of $\sin(2x)$ is $\pi$, and the period of $\cos(3x)$ is $2\pi/3$.
Can you find a point where both will be at the start of a new period?
