# What is the frequency of f(theta)= sin 2 t - cos 7 t ?

Sep 18, 2016

$2 \pi$

#### Explanation:

Frequency of sin 2t --> $\frac{2 \pi}{2} = \pi$
Frequency of cos (7y) --> $\left(2 \frac{\pi}{7}\right)$
Find least common multiple of $\pi$ and $\frac{2 \pi}{7}$
$\pi$ ... x (2) ...--> $2 \pi$
(2pi)/7 ... x (7) ... --> $2 \pi$
Frequency of f(t) = $2 \pi$