# What is the frequency of f(theta)= sin 24 t - cos 27 t ?

Jun 19, 2016

$2 \pi$

#### Explanation:

Period of sin t --> $2 \pi$
Period of $\sin \left(24 t\right) = \frac{2 \pi}{24}$
Period of cos t --> $2 \pi$
Period of cos 27t --> $\frac{2 \pi}{27}$
Find least common multiple of $\frac{2 \pi}{24}$ and $\frac{2 \pi}{27}$

$\frac{2 \pi}{24}$ ...x...(24) --> $2 \pi$
$\frac{2 \pi}{27}$ ...x...(27)--> $2 \pi$
Therefor, the period of f(t) --> $2 \pi , \mathmr{and} 6.28$