Step-by-step explanation:
Given functions are
A) y = 3cos(2x+1), B) y=5cos(4x +8), and C) y=cos(2x+4) (4.3)
or we can rewrite :
A) y = 3cos(2x+1), B) y=5cos(4x +8), and C) y=(4.3)cos(2x+4)
We need to find their periods which is basically (2pi/coefficient of x) of the given cosine function.
So the period of given choices are:
A) [tex]\frac{2\pi}{2}[/tex], B) [tex]\frac{2\pi}{4}[/tex], and C) [tex]\frac{2\pi}{2}[/tex]
or
A) [tex]\pi[/tex], B) [tex]\frac{\pi}{2}[/tex], and C) [tex]\pi[/tex]
Greatest of them is [tex]\pi[/tex]
So the correct choice is A) y = 3cos(2x+1) and C) y=cos(2x+4) (4.3)
