Answer:
The frequency is [tex]\frac{1}{2}[/tex] Hz
Step-by-step explanation:
Sinusoid Function
The cosine and sine functions are generally called sinusoids because of their characteristic oscillatory behavior.
The general cosine function is expressed as
[tex]y(x)=A\cos(\omega x+\phi)+B[/tex]
Where A is the amplitude, ω is the angular frequency, Ф is the phase shift and B is the midline or vertical shift.
We are given the function:
[tex]f(x)=3\cos(\pi x)-2[/tex]
The coefficient of x is the angular frequency, thus
[tex]\omega=\pi[/tex]
Since
[tex]\omega=2\pi f[/tex]
Where f is the frequency, then
[tex]2\pi f=\pi[/tex]
Simplifying:
[tex]f=\frac{1}{2}[/tex]
The frequency is [tex]\frac{1}{2}[/tex] Hz
