Find the x-intercepts of the graph. (Enter your answers as a comma-separated list. Use n as an integer constant.) y = 6 sin TX + 6 cos TX X = AA y 10 -0.5 0.5 1.0 1.5 2.0 2.5 -5 - 10
Find the x-intercepts of the graph. (Enter your answers as a comma-separated list. Use n as an integer constant.) y = 6 sin TX + 6 cos TX X = AA y 10 -0.5 0.5 1.0 1.5 2.0 2.5 -5 - 10
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°.
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![**Transcription for Educational Website**
---
**Problem Statement:**
Find the x-intercepts of the graph. (Enter your answers as a comma-separated list. Use \( n \) as an integer constant.)
**Equation:**
\[ y = 6 \sin (\pi x) + 6 \cos (\pi x) \]
**Input Box:**
x = [__________]
**Graph Explanation:**
The graph shown is of the function \( y = 6 \sin (\pi x) + 6 \cos (\pi x) \). It is a sinusoidal wave that oscillates above and below the x-axis.
- **X-Axis:** The horizontal axis, labeled as \( x \), ranges slightly beyond the points -0.5 to 2.5. The markings include increments of 0.5.
- **Y-Axis:** The vertical axis, labeled as \( y \), ranges from -10 to 10, with markings at every 5 units.
- **Wave Characteristics:** The wave completes approximately one full cycle between \( x = -0.5 \) and \( x = 2.5 \). The wave crosses the x-axis at several points, indicating the x-intercepts that need to be identified.
- **Symmetry and Periodicity:** The function exhibits periodic behavior, consistent with trigonometric functions involving sine and cosine.
**Objective:**
Determine the values of \( x \) for which \( y = 0 \), where the curve intersects the x-axis. Use the form \( x = n \) for integer values if applicable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81309d8e-3631-4b94-a74c-74f7cf383f4a%2Fa25dbeca-818c-4316-a299-a992b7ce2592%2Ffaktfrl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Problem Statement:**
Find the x-intercepts of the graph. (Enter your answers as a comma-separated list. Use \( n \) as an integer constant.)
**Equation:**
\[ y = 6 \sin (\pi x) + 6 \cos (\pi x) \]
**Input Box:**
x = [__________]
**Graph Explanation:**
The graph shown is of the function \( y = 6 \sin (\pi x) + 6 \cos (\pi x) \). It is a sinusoidal wave that oscillates above and below the x-axis.
- **X-Axis:** The horizontal axis, labeled as \( x \), ranges slightly beyond the points -0.5 to 2.5. The markings include increments of 0.5.
- **Y-Axis:** The vertical axis, labeled as \( y \), ranges from -10 to 10, with markings at every 5 units.
- **Wave Characteristics:** The wave completes approximately one full cycle between \( x = -0.5 \) and \( x = 2.5 \). The wave crosses the x-axis at several points, indicating the x-intercepts that need to be identified.
- **Symmetry and Periodicity:** The function exhibits periodic behavior, consistent with trigonometric functions involving sine and cosine.
**Objective:**
Determine the values of \( x \) for which \( y = 0 \), where the curve intersects the x-axis. Use the form \( x = n \) for integer values if applicable.
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