Sketch the least positive angle and find the values of the six trigonometric functions of 0 if the terminal side of an angle 0 in standard position is defined by - √6x+y=0, x ≥ 0. Which of the graphs shows -√6x+y=0, where x20? O A. OB. O C. O D. Ay 5 AY

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°.
icon
Related questions
Question
100%
### Trigonometry Problems: Identifying the Correct Graph

**Problem Statement:**

Sketch the least positive angle θ and find the values of the six trigonometric functions of θ if the terminal side of an angle θ in standard position is defined by -√6x + y = 0, where x ≥ 0.

**Question:**

Which of the graphs shows -√6x + y = 0, where x ≥ 0?

A. ![Graph A](#)

B. ![Graph B](#)

C. ![Graph C](#)

D. ![Graph D](#)

**Descriptions of the Graphs:**

1. **Graph A:**
   - This graph depicts a coordinate plane with points plotted at intervals of 1 unit.
   - The equation appears to be plotted as a line, but specific details such as the slope and intercept are not clearly highlighted.

2. **Graph B:**
   - Similar to Graph A, it shows a coordinate plane with points at 1-unit intervals.
   - It has a line graphed distinctly in the first quadrant but the alignment is different from Graph A.

3. **Graph C:**
   - Depicts a coordinate plane with a specific line passing through the points, again plotted at 1-unit intervals.
   - This graph may indicate a positive slope, but specific visual indicators are not present.

4. **Graph D:**
   - Also on a coordinate plane with 1-unit interval points.
   - The line presented in Graph D has a distinct pattern and slope that might match the given equation.

**Graphical Explanation:**

- Equation: -√6x + y = 0 rearranges to y = √6x.
- The line should pass through the origin (0,0) and have a positive slope of √6.
- Among graphs A, B, C, and D, observe the one that matches the positive slope and passes through the origin adequately based on the mentioned criteria.

Choose the graph that correctly represents the equation where x ≥ 0 and matches the slope correctly for precise determination.
Transcribed Image Text:### Trigonometry Problems: Identifying the Correct Graph **Problem Statement:** Sketch the least positive angle θ and find the values of the six trigonometric functions of θ if the terminal side of an angle θ in standard position is defined by -√6x + y = 0, where x ≥ 0. **Question:** Which of the graphs shows -√6x + y = 0, where x ≥ 0? A. ![Graph A](#) B. ![Graph B](#) C. ![Graph C](#) D. ![Graph D](#) **Descriptions of the Graphs:** 1. **Graph A:** - This graph depicts a coordinate plane with points plotted at intervals of 1 unit. - The equation appears to be plotted as a line, but specific details such as the slope and intercept are not clearly highlighted. 2. **Graph B:** - Similar to Graph A, it shows a coordinate plane with points at 1-unit intervals. - It has a line graphed distinctly in the first quadrant but the alignment is different from Graph A. 3. **Graph C:** - Depicts a coordinate plane with a specific line passing through the points, again plotted at 1-unit intervals. - This graph may indicate a positive slope, but specific visual indicators are not present. 4. **Graph D:** - Also on a coordinate plane with 1-unit interval points. - The line presented in Graph D has a distinct pattern and slope that might match the given equation. **Graphical Explanation:** - Equation: -√6x + y = 0 rearranges to y = √6x. - The line should pass through the origin (0,0) and have a positive slope of √6. - Among graphs A, B, C, and D, observe the one that matches the positive slope and passes through the origin adequately based on the mentioned criteria. Choose the graph that correctly represents the equation where x ≥ 0 and matches the slope correctly for precise determination.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

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