Question

What is the period of `f(t)=sin( ( t ) /3 )`?

Answer 1

`(2pi)/3 rad=120^@`

Explanation:

For a general sine graph of form `y=AsinBt`, the amplitude is `A`, the period is `T=(2pi)/B` and represents the distance on the t-axis for 1 complete cycle of the graph to pass.

So in this particular case, the amplitude is 1 and the period is
`T=(2pi)/3` radians `=120^@`.

graph{sin(1/3x) [-16.02, 16.01, -8.01, 8.01]}