The period of is found using (where ). This period is ________.
Answer & Analysis
Analysis
Question Analysis
This question involves calculating the period of a cosine function with .The main focus is on dividing by a fraction (i.e., multiplying by its reciprocal) to find the stretched period.
Key Concept Explanation
When , the cosine graph is stretched horizontally, making the period longer than . Dividing by a fraction is equivalent to multiplying by the fraction’s reciprocal, simplifying the calculation.
Step-by-step Solution
1. Identify from .
2. Substitute into the formula: .
3. Multiply by the reciprocal of
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