Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
Sketch the graph of the following between x = 4T and x = 4т. y = sin x 0.5 -Зл -2л 2л 47 -0.5-

Sketch the graph of the following between x = 4T and x = 4т. y = sin x 0.5 -Зл -2л 2л 47 -0.5-

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
Question
**Instructions:** Sketch the graph of the following between \( x = -4\pi \) and \( x = 4\pi \). \( y = \sin x \) **Graph Details:** The graph is a sine wave plotted on a coordinate system. Here are the key features: - **X-Axis:** The horizontal axis is labeled with intervals of \(\pi\), ranging from \(-4\pi\) to \(4\pi\). - **Y-Axis:** The vertical axis is labeled with values ranging from \(-1\) to \(1\). - **Sine Wave Characteristics:** - The wave crosses the origin at \( (0, 0) \). - It completes each cycle from \(-4\pi\) to \(4\pi\), passing through key points such as: - \(-3\pi, 0\) - \(-2\pi, 0\) - \(-\pi, 0\) - \(\pi, 0\) - \(2\pi, 0\) - \(3\pi, 0\) - and so on. - Peaking at \( ( -3\pi/2, 1) \), \( (\pi/2, 1) \), \( (5\pi/2, 1) \), etc. - Nadir points at \( ( -\pi/2, -1) \), \( (3\pi/2, -1) \), \( (7\pi/2, -1) \), etc. **Interactive Elements:** At the bottom of the graph, there is an option to "Clear All" and two icons for drawing the sine wave. The icons seem to allow users to interactively sketch the wave, perhaps by drawing the maxima and minima points manually. Consider using this tool to understand the periodic nature of the sine function, and observe how it oscillates between \(-1\) and \(1\) over its domain.
Transcribed Image Text:**Instructions:** Sketch the graph of the following between \( x = -4\pi \) and \( x = 4\pi \). \( y = \sin x \) **Graph Details:** The graph is a sine wave plotted on a coordinate system. Here are the key features: - **X-Axis:** The horizontal axis is labeled with intervals of \(\pi\), ranging from \(-4\pi\) to \(4\pi\). - **Y-Axis:** The vertical axis is labeled with values ranging from \(-1\) to \(1\). - **Sine Wave Characteristics:** - The wave crosses the origin at \( (0, 0) \). - It completes each cycle from \(-4\pi\) to \(4\pi\), passing through key points such as: - \(-3\pi, 0\) - \(-2\pi, 0\) - \(-\pi, 0\) - \(\pi, 0\) - \(2\pi, 0\) - \(3\pi, 0\) - and so on. - Peaking at \( ( -3\pi/2, 1) \), \( (\pi/2, 1) \), \( (5\pi/2, 1) \), etc. - Nadir points at \( ( -\pi/2, -1) \), \( (3\pi/2, -1) \), \( (7\pi/2, -1) \), etc. **Interactive Elements:** At the bottom of the graph, there is an option to "Clear All" and two icons for drawing the sine wave. The icons seem to allow users to interactively sketch the wave, perhaps by drawing the maxima and minima points manually. Consider using this tool to understand the periodic nature of the sine function, and observe how it oscillates between \(-1\) and \(1\) over its domain.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 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