# What is the frequency of f(theta)= sin 12 t - cos 27 t ?

##### 1 Answer
Jan 31, 2017

Period: $2 \pi$

#### Explanation:

Period of sin 12t --> (2pi)/12 = pi/6
Period of cos 27t ---> (2pi)/27
Period of f(t) --> least common multiple of $\frac{\pi}{6}$ and $\frac{2 \pi}{27}$
$\frac{\pi}{6}$ ...x (12) .... --> $2 \pi$
$\frac{2 \pi}{27}$....x ... (27) ... --> $2 \pi$
The period of f(t) is $2 \pi$. Find the frequency.