# What is the period of f(t)=sin( t / 16 )+ cos( (t)/24 ) ?

$96 \pi$
Period of $\sin \left(\frac{t}{16}\right)$ --> $32 \pi$
Period of $\cos \left(\frac{t}{24}\right)$ --> $48 \pi$
Common period of $f \left(t\right) = 96 \pi$