Question

What is the period of the function f(x)=cos2x 1/2 π/2 π 2

Answer 1

The anwser would be Pi .

Answer 2

Answer:

π

Step-by-step explanation:

General form of the cosine function is:

$y(x)=Acos(\omega x +\phi)$

Where:

$A= Amplitude\hspace{3} of \hspace{3} the\hspace{3} function\\\omega=Angular\hspace{3} frequency\\\phi=Phase\hspace{3} shift$

The frequency of the function is given by the following equation:

$f=\frac{\omega}{2 \pi}$

The period is the reciprocal of the frequency, so:

$T=\frac{1}{f} =\frac{2 \pi}{\omega}$

From the equation provided, you can see that the angular frequency is 2. Therefore, the periodof the function is:

$T=\frac{2 \pi}{\omega} =\frac{2\pi}{2} =\pi$