# What is the period of f(t)=cost ?

May 12, 2018

$2 \pi$ or $360 \text{°}$

#### Explanation:

graph{y=cosx [-1,13, -4,3.4]}
Observe the length of a cycle from the graph of $f \left(t\right) = \cos t$.

OR

We know that the period of cosine function is $\frac{2 \pi}{c}$, in $y = a \cos c \theta$.

• In $f \left(t\right) = \cos t$, $c = 1$.

$\therefore$ The period is $\frac{2 \pi}{1} = 2 \pi$.