# How do you find the period of f(x)=sin3x-2cosx ?

$2 \pi$
Period of sin 3x --> $\frac{2 \pi}{3}$
Period of 2cos x --> $2 \pi$
Period of $f \left(x\right) \to 2 \pi$ (least common multiple of $2 \pi$ and $\frac{2 \pi}{3}$)