# What is the frequency of f(theta)= sin 3 t - cos 17 t ?

Aug 16, 2016

$2 \pi$

#### Explanation:

Frequency of sin 3t --> $\frac{2 \pi}{3} = \frac{2 \pi}{3}$
Frequency of cos 17t --> $\frac{2 \pi}{17}$
Find the least common multiple of $\frac{2 \pi}{3} \mathmr{and} \frac{2 \pi}{17}$

$\frac{2 \pi}{3}$ ... x (3) ... --> $2 \pi$
$\frac{2 \pi}{17}$ ...x (17)... --> $\left(2 \pi\right)$
Frequency of f(t) --> $2 \pi$