Algebra-2

Question Analysis
This question involves calculating the period of a cosine function with a negative B-value.The main focus is on recognizing that the sign of B does not affect the period (only absolute value matters).

Key Concept Explanation
For , a negative B reflects the graph horizontally (flips it left-right) but does not change the length of one cycle. Thus, the period uses (absolute value of B) to ensure a positive length.

Step-by-step Solution
1. Identify B in : .
2. Find (absolute value): .
3. Substitute into the period formula:

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