Question

How do you graph two complete cycles of `f(t)=3sin(4pit)`?

Answer 1

See below.

Explanation:

Understanding a cycle = a period `(T)`, we have two cycles from `t=t` to `t=2T` where `omega T=2pi`

Here we have `omega = 4pi` so

`T = (2pi)/omega = (2pi)/(4pi) = 1/2`

so to graph two cycles we need to graph from `t` to `t+2T= t+1`