Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
Find an equation for the graph. 8) C) y=2 sin x D) y = 3 sin x A) y = 2 sin 37x B) y = 3 sin 27x

Find an equation for the graph. 8) C) y=2 sin x D) y = 3 sin x A) y = 2 sin 37x B) y = 3 sin 27x

Trigonometry (11th Edition)
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°.
See similar textbooks
icon
Related questions
Question
Could you please write the answers clearly and understandably? Thank you
**Problem Statement:** Find an equation for the graph. **Graph Description:** - The graph is a sinusoidal wave. - The y-axis ranges from -5 to 5, while the x-axis shows intervals of \(-\frac{1}{3}\), \(0\), \(\frac{1}{3}\), \(\frac{2}{3}\), and \(1\). - The wave starts at the origin (0,0). - It reaches a peak at approximately \(x = \frac{1}{3}\). - The wave crosses the x-axis again at approximately \(x = \frac{2}{3}\). - It then continues to a negative peak at approximately \(x = 1\). - The graph continues this wave-like pattern showing symmetry along the y-axis. **Options for the Equation:** A) \( y = 2 \sin(3\pi x) \) B) \( y = 3 \sin(2\pi x) \) C) \( y = 2 \sin\left(\frac{\pi}{3} x\right) \) D) \( y = 3 \sin\left(\frac{\pi}{2} x\right) \) **Note for Students:** To identify the correct equation, consider the amplitude and the frequency of the sinusoidal wave based on the graph. The amplitude is the maximum height from the x-axis, and the frequency is determined by how many complete waves fit within a given interval.
Transcribed Image Text:**Problem Statement:** Find an equation for the graph. **Graph Description:** - The graph is a sinusoidal wave. - The y-axis ranges from -5 to 5, while the x-axis shows intervals of \(-\frac{1}{3}\), \(0\), \(\frac{1}{3}\), \(\frac{2}{3}\), and \(1\). - The wave starts at the origin (0,0). - It reaches a peak at approximately \(x = \frac{1}{3}\). - The wave crosses the x-axis again at approximately \(x = \frac{2}{3}\). - It then continues to a negative peak at approximately \(x = 1\). - The graph continues this wave-like pattern showing symmetry along the y-axis. **Options for the Equation:** A) \( y = 2 \sin(3\pi x) \) B) \( y = 3 \sin(2\pi x) \) C) \( y = 2 \sin\left(\frac{\pi}{3} x\right) \) D) \( y = 3 \sin\left(\frac{\pi}{2} x\right) \) **Note for Students:** To identify the correct equation, consider the amplitude and the frequency of the sinusoidal wave based on the graph. The amplitude is the maximum height from the x-axis, and the frequency is determined by how many complete waves fit within a given interval.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra and Trigonometry
Algebra and Trigonometry
Trigonometry
ISBN:
9781938168376
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS