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The amplitude of f(8)= -0.9sing is: O 0.9 O -1 O -0.9 O 2n

The amplitude of f(8)= -0.9sing is: O 0.9 O -1 O -0.9 O 2n

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 4DE
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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**.
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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