tan(0) = csc(0) = sec(0) = 8 cot(0) = 41 3281 9 40 Find the other five trigonometric ratios of 0. sin(0) = ㅂ 40 41 0 41 3281 9 40 40 41
tan(0) = csc(0) = sec(0) = 8 cot(0) = 41 3281 9 40 Find the other five trigonometric ratios of 0. sin(0) = ㅂ 40 41 0 41 3281 9 40 40 41
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
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![### Problem Statement
**Objective:** Sketch a triangle that has an acute angle \( \theta \). Given:
\[ \cos(\theta) = \frac{40}{41} \]
### Diagrams
The image includes four right triangles for visualization:
1. **First Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): 40
- Opposite side to \( \theta \): 9
2. **Second Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): 9
- Opposite side to \( \theta \): 40
3. **Third Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): 40
- Opposite side to \( \theta \): \( \sqrt{3281} \)
4. **Fourth Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): \( \sqrt{3281} \)
- Opposite side to \( \theta \): 40
### Task
**Find the other five trigonometric ratios of \( \theta \):**
- \( \sin(\theta) = \)
- \( \tan(\theta) = \)
- \( \csc(\theta) = \)
- \( \sec(\theta) = \)
- \( \cot(\theta) = \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aaff295-69fa-4001-b611-dba82bc0a1d6%2Fab566777-376d-4186-960a-e1d654cc19ff%2Fdjfyq3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
**Objective:** Sketch a triangle that has an acute angle \( \theta \). Given:
\[ \cos(\theta) = \frac{40}{41} \]
### Diagrams
The image includes four right triangles for visualization:
1. **First Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): 40
- Opposite side to \( \theta \): 9
2. **Second Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): 9
- Opposite side to \( \theta \): 40
3. **Third Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): 40
- Opposite side to \( \theta \): \( \sqrt{3281} \)
4. **Fourth Triangle:**
- Hypotenuse: 41
- Adjacent side to \( \theta \): \( \sqrt{3281} \)
- Opposite side to \( \theta \): 40
### Task
**Find the other five trigonometric ratios of \( \theta \):**
- \( \sin(\theta) = \)
- \( \tan(\theta) = \)
- \( \csc(\theta) = \)
- \( \sec(\theta) = \)
- \( \cot(\theta) = \)
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