# What is the period of f(theta)= sin 4 t - cos 3 t ?

$2 \pi$
Period of sin 4t --> $\frac{2 \pi}{4} = \frac{\pi}{2}$
Period of cos 3t --> $\frac{2 \pi}{3}$
Least common multiple of $\left(\frac{\pi}{2}\right) \mathmr{and} \frac{2 \pi}{3}$ --> $2 \pi$
Period of f(t) --> $2 \pi$