# What is the period of f(t)=sin( t / 30 )+ cos( (t)/ 5 ) ?

$60 \pi$
Period of $\sin \left(\frac{t}{30}\right)$ --> $30 \left(2 \pi\right) = 60 \pi$
Period of $\cos \left(\frac{t}{5}\right)$ --> $5 \left(2 \pi\right) = 10 \pi$
Period of f(t) ---> $60 \pi$
(least common multiple of $10 \pi$ and $60 \pi$)