Concept explainers
Write the function for sinusoid.
Answer to Problem 14E
Explanation of Solution
Given information:
Formula used:
Sinusoidal function
Here a=amplitude, h=Horizontal Shift, k=vertical shift, b=period
Vertical shift
Amplitude
Step 1:
Find the maximum and minimum values. From the graph the maximum value is 5 and the minimum value is -5.
Step 2:
Identify the vertical shift,
Step 3:
Decide whether the graph should be modelled by sin or cosine function. Because the graph is at maximum value at angle 0, therefore, the graph is a cosine curve with no horizontal shift. So,
Step 4:
Find the amplitude and period. The period is:
The amplitude is:
Now putting the value of
Chapter 9 Solutions
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