Question #6452492Fill in the Blank
Algebra-2
Question
Find the period of . The period is ________.
Answer & Analysis
Analysis
Question Analysis
This question calculates the period of a cosine function with a negative, fractional B-value.The main focus is on using the absolute value of B (to ignore reflection) and simplifying division by a negative fraction.
This question calculates the period of a cosine function with a negative, fractional B-value.The main focus is on using the absolute value of B (to ignore reflection) and simplifying division by a negative fraction.
Key Concept Explanation
A negative B only reflects the cosine graph horizontally (no effect on period length). Thus, we first take to get a positive value, then calculate the period by dividing by (using reciprocals for fractions).
A negative B only reflects the cosine graph horizontally (no effect on period length). Thus, we first take to get a positive value, then calculate the period by dividing by (using reciprocals for fractions).
Step-by-step Solution
1. Identify and find .
2. Apply the formula: .
3. Multiply by the reciprocal:
1. Identify and find .
2. Apply the formula: .
3. Multiply by the reciprocal:
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