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

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Answer 1 · 2017-07-28T11:25:28

See below.

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 $t+2T= t+1$

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