# What is the period of f(theta)= sin 7 t - cos 3 t ?

Feb 26, 2016

$2 \pi$

#### Explanation:

Period of sin 7t --> $\frac{2 \pi}{7}$
Period of cos 3t --> $\frac{2 \pi}{3}$
Common period of f(t) --> $2 \pi$
Check:
$\frac{2 \pi}{7}$ x 7 --> $2 \pi$
$\frac{2 \pi}{3}$ x 3 --> $2 \pi$