Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 54PS: Velocity of a Ferris Wheel Use Figure 7 as a model of the Ferris wheel called Colossus that is built...
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![### Educational Website Content
**Question:** The range of the sine and cosine function change if the amplitude of the function is a number other than 1.
- **Option A:** True
- **Option B:** False
**Explanation:**
The range of the basic sine and cosine functions is \([-1, 1]\). When the amplitude of these functions is altered from the default value of 1 to any other number \(A\), the range of the sine and cosine functions changes accordingly. Specifically, the new range will be \([-A, A]\). Amplitude adjustments result in a vertical stretch or compression of the graph, altering the maximum and minimum values that the function can attain.
Note:
There is no graph or diagram present in the image to explain. The image shows a screenshot of a laptop screen with a question and options visible. There is also a visible taskbar with various application icons and a temperature reading of 88°F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F136e7ace-7487-4e46-aa8b-2e1ffd8bd45d%2F70cd4e65-cf03-4bed-b6b8-997a494b7ecf%2F7281t3a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Website Content
**Question:** The range of the sine and cosine function change if the amplitude of the function is a number other than 1.
- **Option A:** True
- **Option B:** False
**Explanation:**
The range of the basic sine and cosine functions is \([-1, 1]\). When the amplitude of these functions is altered from the default value of 1 to any other number \(A\), the range of the sine and cosine functions changes accordingly. Specifically, the new range will be \([-A, A]\). Amplitude adjustments result in a vertical stretch or compression of the graph, altering the maximum and minimum values that the function can attain.
Note:
There is no graph or diagram present in the image to explain. The image shows a screenshot of a laptop screen with a question and options visible. There is also a visible taskbar with various application icons and a temperature reading of 88°F.
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