Question

A wave is modeled with the function y = 1/2 sin 3 theta. Describe the graph of this function, including its period, amplitude, and points of intersection with the x-axis.I am so lost. Can you help me understand how to do this kind of problem?

Answer 1

`y=(1)/(2)sin3\theta`

AMPLITUDE

Amplitude—distance between the resting position and the maximum displacement of the wave.

`The\text{ amplitude=1/2}`

PERIOD

The period of a wave is the time for a particle on a medium to make one complete.

`Period=(360)/(3)=120\degree`

POINT OF INTERSECTION WITH THE X-AXIS

`-120\degree,-60\degree,0\degree,60\degree and\text{ 120}\degree`