Concept explainers
The reason that b in y = sin bx does not affect maximum and minimum value of sine function.
Explanation of Solution
Given:
Solution:
The given function.
Here, b will affect the curve by horizontal elongation or shrinkage
This will affect the period of the curve. That is why, the maximum and minimum values remains unchanged.
For example,
For change in maximum and minimum value, that is vertical elongation or shrinkage occur witch change in value of a. this will affect amplitude of the curve not period.
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Algebra and Trigonometry: Structure and Method, Book 2
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