# What is the period of f(t)=sin( t / 36 )+ cos( (t)/3 ) ?

$72 \pi$
Period of $\sin \left(\frac{t}{36}\right)$ --> $36 \left(2 \pi\right) = 72 \pi$
Period of $\cos \left(\frac{t}{3}\right)$ --> $3 \left(2 \pi\right) = 6 \pi$
Period of f(t) --> least common multiple of $6 \pi \mathmr{and} 72 \pi$.
The answer is $72 \pi$