Answered

IDNLearn.com provides a comprehensive solution for all your question and answer needs. Find in-depth and trustworthy answers to all your questions from our experienced community members.

This graph represents the function (*) = cos(4x)no-1What is the period of the function?O A 20ocOD

Sagot :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

[tex]f(x)=\cos (4x)[/tex]

STEP 2: Show the graph

The period of a periodic function is the interval of x-values on which the cycle of the graph that's repeated in both directions lies.

The period can be seen from the image of the graph, this can be calculates as;

[tex]\begin{gathered} \frac{3\pi}{4}-\frac{\pi}{4} \\ \mathrm{Apply\: rule}\: \frac{a}{c}\pm\frac{b}{c}=\frac{a\pm\:b}{c} \\ \frac{3\pi-\pi}{4} \\ \mathrm{Add\: similar\: elements\colon}\: 3\pi-\pi=2\pi \\ =\frac{2\pi}{4} \\ \mathrm{Cancel\: the\: common\: factor\colon}\: 2 \\ =\frac{\pi}{2} \end{gathered}[/tex]

Hence, the period of the function is:

[tex]\frac{\pi}{2}[/tex]

View image TyheemO557381
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.