Question #6452490Fill in the Blank
Algebra-2
Question
The period of is ________.
Answer & Analysis
Analysis
Question Analysis
This question involves calculating the period of a cosine function with a coefficient .The main focus is on applying the period formula correctly.
This question involves calculating the period of a cosine function with a coefficient .The main focus is on applying the period formula correctly.
Key Concept Explanation
For any cosine function , the coefficient B affects the period: compresses the graph horizontally, so the period is shorter than . The formula gives the new period.
For any cosine function , the coefficient B affects the period: compresses the graph horizontally, so the period is shorter than . The formula gives the new period.
Step-by-step Solution
1. Identify B in : .
2. Substitute into the period formula:
1. Identify B in : .
2. Substitute into the period formula:
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