Homework Help is Here – Start Your Trial Now!
Math
Trigonometry
y = cot Graph the function. 1 2. -1 %3D -2

y = cot Graph the function. 1 2. -1 %3D -2

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
**Find the period:** \( y = \cot\left(\frac{\pi x}{2}\right) \) **Graph the function.** **Explanation of Graphs:** The image contains four graphs of the function \( y = \cot\left(\frac{\pi x}{2}\right) \). Each graph displays the function over different intervals, demonstrating different potential interpretations of the function's transformation. 1. **First Graph:** - The graph shows multiple periods of the cotangent function. - Vertical asymptotes are present at \( x = -3, -1, 1, 3 \). - The graph forms descending curves between each pair of asymptotes. 2. **Second Graph:** - This graph also shows a segment of the cotangent graph. - The vertical asymptotes occur at \( x = -2, 0, 2, 4 \). - The shape is similar to the first graph but with different placements of asymptotes. 3. **Third Graph:** - Displays another potential period of the function. - Vertical asymptotes are located at \( x = -3, -1, 1, 3 \). - The pattern is consistent with the first graph. 4. **Fourth Graph:** - Similar to the second graph, but vertical asymptotes are at \( x = -2, 0, 2, 4 \). - The function descends between each asymptote. Each graph is set on an \( x \)-\( y \) plane with a consistent range from -6 to 6 on the y-axis and varied intervals on the x-axis to demonstrate different transformations of the function’s period.
Transcribed Image Text:**Find the period:** \( y = \cot\left(\frac{\pi x}{2}\right) \) **Graph the function.** **Explanation of Graphs:** The image contains four graphs of the function \( y = \cot\left(\frac{\pi x}{2}\right) \). Each graph displays the function over different intervals, demonstrating different potential interpretations of the function's transformation. 1. **First Graph:** - The graph shows multiple periods of the cotangent function. - Vertical asymptotes are present at \( x = -3, -1, 1, 3 \). - The graph forms descending curves between each pair of asymptotes. 2. **Second Graph:** - This graph also shows a segment of the cotangent graph. - The vertical asymptotes occur at \( x = -2, 0, 2, 4 \). - The shape is similar to the first graph but with different placements of asymptotes. 3. **Third Graph:** - Displays another potential period of the function. - Vertical asymptotes are located at \( x = -3, -1, 1, 3 \). - The pattern is consistent with the first graph. 4. **Fourth Graph:** - Similar to the second graph, but vertical asymptotes are at \( x = -2, 0, 2, 4 \). - The function descends between each asymptote. Each graph is set on an \( x \)-\( y \) plane with a consistent range from -6 to 6 on the y-axis and varied intervals on the x-axis to demonstrate different transformations of the function’s period.
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