# Finding the period

1. May 3, 2009

### Ry122

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

2. May 3, 2009

### djeitnstine

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

3. May 4, 2009

### Ry122

i need to do it without graphing

4. May 4, 2009

### 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.