Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Question: Amplitude of a Trigonometric Function
The problem presented involves determining the amplitude of the function \( f(\theta) = -0.9 \sin(\theta) \).
#### Question Statement:
The amplitude of \( f(\theta) = -0.9 \sin(\theta) \) is:
- ○ 0.9
- ○ -1
- ○ -0.9
- ○ \( 2\pi \)
#### Explanation:
The amplitude of a sinusoidal function \( y = A \sin(Bx) \) or \( y = A \cos(Bx) \) is given by the absolute value of the coefficient \( A \).
For the function \( f(\theta) = -0.9 \sin(\theta) \):
- The coefficient \( A \) is \(-0.9\).
Thus, the amplitude is:
\[ |A| = |-0.9| = 0.9 \]
#### Answer:
- ○ **0.9**
- ○ -1
- ○ -0.9
- ○ \( 2\pi \)
The correct option is **0.9**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff19158ce-506a-4a94-9506-84274a4b7439%2F2bb85e41-c1ec-4aa5-b460-166dd4b338b2%2Fbetujtf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question: Amplitude of a Trigonometric Function
The problem presented involves determining the amplitude of the function \( f(\theta) = -0.9 \sin(\theta) \).
#### Question Statement:
The amplitude of \( f(\theta) = -0.9 \sin(\theta) \) is:
- ○ 0.9
- ○ -1
- ○ -0.9
- ○ \( 2\pi \)
#### Explanation:
The amplitude of a sinusoidal function \( y = A \sin(Bx) \) or \( y = A \cos(Bx) \) is given by the absolute value of the coefficient \( A \).
For the function \( f(\theta) = -0.9 \sin(\theta) \):
- The coefficient \( A \) is \(-0.9\).
Thus, the amplitude is:
\[ |A| = |-0.9| = 0.9 \]
#### Answer:
- ○ **0.9**
- ○ -1
- ○ -0.9
- ○ \( 2\pi \)
The correct option is **0.9**.
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