Answer:
C.) π
Step-by-step explanation:
Given function:
[tex]f(x)=cos(2x)[/tex]
To find the period of the function.
Solution:
The general cosine function is given as:
[tex]f(x)= A cos (Bx)[/tex]
where [tex]A[/tex] represents the amplitude of the function and the period of the function is given as:
⇒ [tex]\frac{2\pi}{B}[/tex]
For the given function: [tex]f(x)=cos(2x)[/tex]
The period is given as:
⇒ [tex]\frac{2\pi}{2}[/tex]
Cancelling the common terms, we have:
⇒ [tex]\pi[/tex]
Thus, period of the given function = π
