What is the period of f(t)=cos 7 t ?

Jan 5, 2016

$\frac{2 \pi}{7}$

Explanation:

A general cosine graph of form $y = A \cos B t$ has period $T = \frac{2 \pi}{B}$. This represents the time taken for 1 complete cycle of the graph to pass.

So in this particular case, the period is $T = \frac{2 \pi}{7}$ radians.

Graphically :

graph{cos(7x) [-3.57, 4.224, -1.834, 2.062]}