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

Jul 28, 2017

See below.

Explanation:

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

Here we have $\omega = 4 \pi$ so

$T = \frac{2 \pi}{\omega} = \frac{2 \pi}{4 \pi} = \frac{1}{2}$

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