5. The following graph is of the function \( y = A \sin Bx \). ![Sine Wave Graph](attachment:image.png) **Graph Description:** The graph depicts a sine wave oscillating along the y-axis. The y-values range from -4 to 4, displaying the wave's peaks and troughs. The x-values range from 0 to 8, showing two complete cycles of the wave. Each cycle starts at 0, reaches a peak at approximately 1.57, returns to 0 at approximately 3.14, reaches a trough at approximately 4.71, and completes the cycle at approximately 6.28. **Questions:** (a) What is the amplitude of the above sine wave? (b) What is the period of the above sine wave? (c) What is the value of \( A \)? (d) What is the value of \( B \)?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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5. The following graph is of the function \( y = A \sin Bx \).

![Sine Wave Graph](attachment:image.png)

**Graph Description:**
The graph depicts a sine wave oscillating along the y-axis. The y-values range from -4 to 4, displaying the wave's peaks and troughs. The x-values range from 0 to 8, showing two complete cycles of the wave. Each cycle starts at 0, reaches a peak at approximately 1.57, returns to 0 at approximately 3.14, reaches a trough at approximately 4.71, and completes the cycle at approximately 6.28.

**Questions:**

(a) What is the amplitude of the above sine wave?

(b) What is the period of the above sine wave?

(c) What is the value of \( A \)?

(d) What is the value of \( B \)?
Transcribed Image Text:5. The following graph is of the function \( y = A \sin Bx \). ![Sine Wave Graph](attachment:image.png) **Graph Description:** The graph depicts a sine wave oscillating along the y-axis. The y-values range from -4 to 4, displaying the wave's peaks and troughs. The x-values range from 0 to 8, showing two complete cycles of the wave. Each cycle starts at 0, reaches a peak at approximately 1.57, returns to 0 at approximately 3.14, reaches a trough at approximately 4.71, and completes the cycle at approximately 6.28. **Questions:** (a) What is the amplitude of the above sine wave? (b) What is the period of the above sine wave? (c) What is the value of \( A \)? (d) What is the value of \( B \)?
Expert Solution
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The wave eq is y=A sinBxWhere A is the amplitudeperiod=2πB

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