The range of the sine and cosine function change if the amplitude of the function is a number other than 1. True False

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**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. 

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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.
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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