Question

What is the period of the function f(x) = cos 2x?
A.) Pi/2
B.) 1/2
C.) Pi
D.) 2

Answer 1

Answer:

C.) π

Step-by-step explanation:

Given function:

$f(x)=cos(2x)$

To find the period of the function.

Solution:

The general cosine function is given as:

$f(x)= A cos (Bx)$

where $A$ represents the amplitude of the function and the period of the function is given as:

⇒ $\frac{2\pi}{B}$

For the given function: $f(x)=cos(2x)$

The period is given as:

⇒  $\frac{2\pi}{2}$

Cancelling the common terms, we have:

⇒ $\pi$

Thus, period of the given function =  π