To calculate: The cosine function for the height of the crank pin if the graph shows the height h (in inches) of a crank pin relative to the axle as a function of time t (in seconds).
The resultant function is
Given information:
The given graph is:
Formula used: The period formula is
Calculation:
Consider the given graph:
The period of the graph of
The horizontal length of each cycle is also called period. From the graph, the period is
It can be written as
Now solve for b ,
From the graph, the maximum is 3.75 and minimum as -3.75.
The amplitude of each function’s graph is half of the difference of maximum and the minimum:
Now substitute
Therefore, the cosine function for the height of the crank pin is
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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