Question

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

Answer 1

`6pi`

Explanation:

Any general cosine graph of form `y=AcosBx` has period given by `T=(2pi)/B`.

So in this case, period `T=(2pi)/(1/3)=6pi`.

This means that it takes `6pi` radians for 1 full cycle of the graph to occur.

Graphically ;

graph{cos(x/3) [-10, 10, -4.995, 5.005]}