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To find the **primitive period of cos(3x)**:

### Explanation:
The cosine function, \( \cos(kx) \), has a period \( T = \frac{2\pi}{|k|} \). Here, the multiplier \( k = 3 \), so the period can be calculated as:

\[
T = \frac{2\pi}{3}
\]

This means the function \( \cos(3x) \) repeats its values every \( \frac{2\pi}{3} \). Therefore, the **primitive period** of \( \cos(3x) \) is:

\[
T = \frac{2\pi}{3}
\]

Would you like further clarification or a graph of the function to better understand this? 

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### Related Questions:
1. What is the general formula for the period of \( \cos(kx) \)?
2. How does the period of \( \sin(3x) \) compare to \( \cos(3x) \)?
3. If \( k = 5 \), what would be the period of \( \cos(5x) \)?
4. Can the primitive period of \( \cos(3x) \) change under any transformations?
5. How does the period of \( \cos(3x) \) relate to its frequency?

### Tip:
The period of a trigonometric function is inversely proportional to the coefficient of \( x \) in the argument of the function!

Learn how to find the primitive period of cos(3x) using the formula T = 2π/|k|. This problem explores periodic functions in trigonometry and is suitable for high school students (Grades 9-12).

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