# What is the frequency of f(theta)= sin 4 t - cos 12 t ?

$\frac{\pi}{2} \mathmr{and} {90}^{\circ}$
The period of sin t is $2 \pi \mathmr{and} {360}^{\circ} .$
The period of sin 4t is $\frac{2 \pi}{4} = \frac{\pi}{2}$ or ${90}^{\circ}$
The period of cos t is $2 \pi \mathmr{and} {369}^{\circ}$
The period of cos 12t is $\frac{2 \pi}{12} = \frac{\pi}{6}$ or ${30}^{\circ}$
The period of f(t) is $\frac{\pi}{2} \mathmr{and} {90}^{\circ}$, the least multiple of $\frac{\pi}{2} \mathmr{and} \frac{\pi}{6.}$