# Finding the period

How do I find the period of this function?
g(t) = cos (4t) + sin (t)

djeitnstine
Gold Member
Graph it and check? Or would you rather do it by analysis.

i need to do it without graphing

HallsofIvy
sin t is periodic with fundamental period $2\pi$ and cos 4t is periodic with fundamental period $\pi/2$. Since $2\pi= 4(\pi/2)$, $2\pi$ is also a period of cos 4t.