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

Dec 14, 2015

$6 \pi$

#### Explanation:

Any general cosine graph of form $y = A \cos B x$ has period given by $T = \frac{2 \pi}{B}$.

So in this case, period $T = \frac{2 \pi}{\frac{1}{3}} = 6 \pi$.

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

Graphically ;

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