Plot the x intercepts, maxima and minima of y=cos(x) from 0 to 2pi

Figure of the function is included below as attachment.

Step-by-step explanation:

Let As first step we have to find x intercepts, maxima and minima from 0 to 2π, which are needed to plot given function. Cosine is a trigonometric function bounded between -1 and 1 with a periodicity of 2π.

x-Intercepts

x-intercepts are those points of the function such that . That is:

In this case, there is a periodicity of π for . The x-intercepts are in the following set:

Maxima

Maxima are those points of the function such that . That is:

In this case, there is a periodicity of 2π for . Maxima are in the following set:

Minima

Minima are those points of the function such that . That is:

In this case, there is a periodicity of 2π for . Minima are in the following set:

Lastly, we proceed to plot the function as well as its x-intercepts, maxima and minima with the help of a plotting tool.