The cosine function is expressed as:
[tex]y=Acos(w\theta)[/tex]
Where A is the amplitude and w is the angular frequency.
The period of a wave is given by:
[tex]T=\frac{2\pi}{w}[/tex]
We are given the equation:
[tex]y=\frac{1}{4}cos\left(\frac{2\pi}{3}\theta\right?\text{ }[/tex]
By comparison, we have:
[tex]A=\frac{1}{4},\text{ }w=\frac{2\pi}{3}[/tex]
Calculate the period:
[tex]T=\frac{2\pi}{\frac{2\pi}{3}}=3[/tex]
a. The period is T = 3
b. The amplitude is 1/4
