# What is the frequency of f(theta)= sin 3 t - cos 8 t ?

Mar 9, 2016

$2 \pi$

#### Explanation:

Period of $\sin 3 t - \to \frac{2 \pi}{3}$
Period of $\cos 8 t - \to \frac{2 \pi}{8.}$
Find least multiple of $\frac{2 \pi}{3} \mathmr{and} \frac{2 \pi}{8}$ -->
$\frac{2 \pi}{3} . \left(3\right) - \to 2 \pi$
$\frac{2 \pi}{8} . \left(8\right) - \to 2 \pi .$
Common period of $f \left(t\right) - \to 2 \pi .$