one complete cycle for the following. Label the axes accurately. y = tan 3x - ) 3 36 18 36 18 -2 -3 2.
one complete cycle for the following. Label the axes accurately. y = tan 3x - ) 3 36 18 36 18 -2 -3 2.
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°.
Related questions
Question
Please as fast as possible
![Graph one complete cycle for the following. Label the axes accurately.
\[ y = \tan \left(3x - \frac{\pi}{6}\right) \]
### Graph Explanation
The images consist of four graphs of the tangent function. Each graph illustrates the transformation of the basic tangent curve based on the function given.
- **Vertical Asymptotes**: The red dashed lines indicate vertical asymptotes, where the tangent function is undefined.
- The graph cycles between these asymptotes, demonstrating one complete period of the tangent function.
- **Axes Labels**:
- The x-axis is labeled with specific points such as \(-\frac{\pi}{9}\), \(\frac{\pi}{18}\), \(\frac{\pi}{6}\), \(\frac{\pi}{9}\), and \(\frac{\pi}{3}\).
- The y-axis ranges from -5 to 5, showing vertical positions of the function.
### Period and Horizontal Shift
Determine the period and horizontal shift for the graph. Use the methods given in the definition.
- **Period**: [Blank Box]
- **Horizontal Shift**: [Blank Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21a46c88-e228-4106-93ed-ee22dfdcb965%2F31a075df-4dbe-47b3-b5f8-c2782c44ac3d%2Ffxy7ni_processed.png&w=3840&q=75)
Transcribed Image Text:Graph one complete cycle for the following. Label the axes accurately.
\[ y = \tan \left(3x - \frac{\pi}{6}\right) \]
### Graph Explanation
The images consist of four graphs of the tangent function. Each graph illustrates the transformation of the basic tangent curve based on the function given.
- **Vertical Asymptotes**: The red dashed lines indicate vertical asymptotes, where the tangent function is undefined.
- The graph cycles between these asymptotes, demonstrating one complete period of the tangent function.
- **Axes Labels**:
- The x-axis is labeled with specific points such as \(-\frac{\pi}{9}\), \(\frac{\pi}{18}\), \(\frac{\pi}{6}\), \(\frac{\pi}{9}\), and \(\frac{\pi}{3}\).
- The y-axis ranges from -5 to 5, showing vertical positions of the function.
### Period and Horizontal Shift
Determine the period and horizontal shift for the graph. Use the methods given in the definition.
- **Period**: [Blank Box]
- **Horizontal Shift**: [Blank Box]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning