Question

A sound wave is modeled by the curve `y=3sin4x`. What is the period of this curve?

Answer 1

Period of the curve is `color(indigo)(pi/2`

Explanation:

Standard form of equation `y = a sin(bx - ) + d`

Given `y = 3 sin 4x`

`a = 3, b = 3, c = 0, d = 0`

Amplitude `= a = 3`

Period `= (2pi) / |b| = (2pi)/4 = pi/2`

Phase shift `= c / b = 0`

Vertical shift `= d = 0`

graph{3sin(4x) [-10, 10, -5, 5]}