# What is the period of f(t)=sin(t/2)+ cos3t ?

##### 1 Answer
Apr 5, 2016

$4 \pi$

#### Explanation:

Period of sin (t/2) ---> $2 \left(2 \pi\right) = 4 \pi$
Period of cos (3t) --> $\left(2 \frac{\pi}{3}\right)$
Period of f(t) --> least common multiple of $4 \pi$ and $\frac{2 \pi}{3}$
It is $4 \pi$