Answer:
The period of f(x) = Cos2x is [tex]\pi[/tex]
Step-by-step explanation:
Given,
f(x) = cos2x
The period of cosine function Acos( Bx - C ) + D is found by the formula-
Period = [tex]\frac{2\pi }{\left | B\right |}[/tex]
In this problem,
A = 1 , B=2 , C=0 and D = 0
So, plug in the values for B in the formula.
Therefore, period [tex]= \frac{2\pi }{2}[/tex]
[tex]= \pi[/tex]
The period of f(x) = Cos2x is [tex]\pi[/tex]