Solution
- We are asked to plot the function below:
[tex]y=\cos(\frac{1}{4}x)[/tex]- The general formula for the cosine function is:
[tex]\begin{gathered} y=A\cos(Bx+C)+D \\ where, \\ \frac{2\pi}{T}=B \\ \\ T=\text{ Period} \end{gathered}[/tex]- Comparing this general formula to the question, we have;
[tex]\begin{gathered} \frac{2\pi}{T}=\frac{1}{4} \\ \\ \therefore T=2\pi\times4 \\ T=8\pi \end{gathered}[/tex]- This implies that the period is 8π. Thus, our graph should stop at 8π.
- We have 4 divisions along the x-axis, thus, each division must be
[tex]\frac{8\pi}{4}=2\pi[/tex]- Plotting the graph, we have:
