Right A EFG has its right angle at F, EG = 8, and FG = 6. What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value. cot G sin E sec G 4√7 3√7 7 7 حظر انت 53 1 5/0 2 334 3 4 5 6 7 8 9 10 Next
Right A EFG has its right angle at F, EG = 8, and FG = 6. What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value. cot G sin E sec G 4√7 3√7 7 7 حظر انت 53 1 5/0 2 334 3 4 5 6 7 8 9 10 Next
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![## Trigonometric Ratios in Right-Angle Triangles
Consider a right triangle \( \triangle EFG \) with a right angle at \( F \). In this triangle:
- \( EG = 8 \)
- \( FG = 6 \)
### Problem Statement
Determine the values of the following trigonometric ratios for the given triangle:
1. \( \cot G \)
2. \( \sin E \)
3. \( \sec G \)
Drag a value to each box to match the trigonometric ratio with its correct value from the provided options.
### Available Values to Choose From:
\[ \frac{4}{3} \quad \frac{\sqrt{7}}{3} \quad \frac{4\sqrt{7}}{7} \quad \frac{3\sqrt{7}}{7} \quad \frac{\sqrt{7}}{8} \quad \frac{3}{4} \]
### Answer Boxes:
- **cot \( G \)**
- **sin \( E \)**
- **sec \( G \)**
### Steps to Solve:
1. **Finding \( \cot G \)**:
- Use the definition of cotangent in a right triangle: \( \cot G = \frac{\text{adjacent}}{\text{opposite}} \).
2. **Finding \( \sin E \)**:
- Use the definition of sine in a right triangle: \( \sin E = \frac{\text{opposite}}{\text{hypotenuse}} \).
3. **Finding \( \sec G \)**:
- Use the definition of secant in a right triangle: \( \sec G = \frac{\text{hypotenuse}}{\text{adjacent}} \).
### Diagram Analysis
The problem must have a visual representation of the triangle, and the student should be able to apply the trigonometric definitions to determine the correct values from the given options.
---
*Note: This problem is a part of a sequence, labeled as "1 2 3 4 5 6 7 8 9 10" with the current step being "1". The "Next" button at the bottom right suggests that this is part of a multi-step educational exercise.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fd604ca-8dc6-4a27-ba35-1469eb31e622%2F71fd1267-d69a-4745-b8d9-289960ee9134%2Fqrx3hn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Trigonometric Ratios in Right-Angle Triangles
Consider a right triangle \( \triangle EFG \) with a right angle at \( F \). In this triangle:
- \( EG = 8 \)
- \( FG = 6 \)
### Problem Statement
Determine the values of the following trigonometric ratios for the given triangle:
1. \( \cot G \)
2. \( \sin E \)
3. \( \sec G \)
Drag a value to each box to match the trigonometric ratio with its correct value from the provided options.
### Available Values to Choose From:
\[ \frac{4}{3} \quad \frac{\sqrt{7}}{3} \quad \frac{4\sqrt{7}}{7} \quad \frac{3\sqrt{7}}{7} \quad \frac{\sqrt{7}}{8} \quad \frac{3}{4} \]
### Answer Boxes:
- **cot \( G \)**
- **sin \( E \)**
- **sec \( G \)**
### Steps to Solve:
1. **Finding \( \cot G \)**:
- Use the definition of cotangent in a right triangle: \( \cot G = \frac{\text{adjacent}}{\text{opposite}} \).
2. **Finding \( \sin E \)**:
- Use the definition of sine in a right triangle: \( \sin E = \frac{\text{opposite}}{\text{hypotenuse}} \).
3. **Finding \( \sec G \)**:
- Use the definition of secant in a right triangle: \( \sec G = \frac{\text{hypotenuse}}{\text{adjacent}} \).
### Diagram Analysis
The problem must have a visual representation of the triangle, and the student should be able to apply the trigonometric definitions to determine the correct values from the given options.
---
*Note: This problem is a part of a sequence, labeled as "1 2 3 4 5 6 7 8 9 10" with the current step being "1". The "Next" button at the bottom right suggests that this is part of a multi-step educational exercise.*
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