Raegan Bray

2022-07-18

A sound wave is modeled by the curve $y=3\mathrm{sin}4x$. What is the period of this curve?

Abraham Norris

Expert

Standard form of equation $y=a\mathrm{sin}\left(bx-\right)+d$
Given $y=3\mathrm{sin}4x$
a=3, b=3, c=0,d=0
Amplitude = a = 3
$Period=\frac{2\pi }{|b|}=\frac{2\pi }{4}=\frac{\pi }{2}$
Phase shift $=\frac{c}{b}=0$
Vertical shift =d=0
graph{$3\mathrm{sin}\left(4x\right)\left[-10,10,-5,5\right]$}

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