### Triangle Trigonometry Practice #### Triangle Diagram: The image displays a right triangle with sides labeled as follows: - Side \( a \) opposite angle \( A \) - Side \( b \) adjacent to angle \( A \) - Hypotenuse \( c \) - Angle \( A \) is the angle between side \( b \) and hypotenuse \( c \) - Angle \( B \) is the angle between side \( a \) and hypotenuse \( c \), indicated by the letter \( B \) #### Instruction: Note: Triangle may not be drawn to scale. #### Given: Suppose \( a = 3 \) and \( b = 8 \). #### Task: Find an exact value or give at least two decimal places for the following trigonometric ratios: 1. \(\sin(A) =\) [Input Box] 2. \(\cos(A) =\) [Input Box] 3. \(\tan(A) =\) [Input Box] 4. \(\sec(A) =\) [Input Box] 5. \(\csc(A) =\) [Input Box] 6. \(\cot(A) =\) [Input Box] #### Additional Help: - For assistance, click the [Video] button. #### Submission: - After entering your answers, click the "Check Answer" button to verify your solutions.

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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### Triangle Trigonometry Practice

#### Triangle Diagram:
The image displays a right triangle with sides labeled as follows:
- Side \( a \) opposite angle \( A \)
- Side \( b \) adjacent to angle \( A \)
- Hypotenuse \( c \)
- Angle \( A \) is the angle between side \( b \) and hypotenuse \( c \)
- Angle \( B \) is the angle between side \( a \) and hypotenuse \( c \), indicated by the letter \( B \)

#### Instruction:
Note: Triangle may not be drawn to scale.

#### Given:
Suppose \( a = 3 \) and \( b = 8 \).

#### Task:
Find an exact value or give at least two decimal places for the following trigonometric ratios:

1. \(\sin(A) =\) [Input Box]
2. \(\cos(A) =\) [Input Box]
3. \(\tan(A) =\) [Input Box]
4. \(\sec(A) =\) [Input Box]
5. \(\csc(A) =\) [Input Box]
6. \(\cot(A) =\) [Input Box]

#### Additional Help:
- For assistance, click the [Video] button.

#### Submission:
- After entering your answers, click the "Check Answer" button to verify your solutions.
Transcribed Image Text:### Triangle Trigonometry Practice #### Triangle Diagram: The image displays a right triangle with sides labeled as follows: - Side \( a \) opposite angle \( A \) - Side \( b \) adjacent to angle \( A \) - Hypotenuse \( c \) - Angle \( A \) is the angle between side \( b \) and hypotenuse \( c \) - Angle \( B \) is the angle between side \( a \) and hypotenuse \( c \), indicated by the letter \( B \) #### Instruction: Note: Triangle may not be drawn to scale. #### Given: Suppose \( a = 3 \) and \( b = 8 \). #### Task: Find an exact value or give at least two decimal places for the following trigonometric ratios: 1. \(\sin(A) =\) [Input Box] 2. \(\cos(A) =\) [Input Box] 3. \(\tan(A) =\) [Input Box] 4. \(\sec(A) =\) [Input Box] 5. \(\csc(A) =\) [Input Box] 6. \(\cot(A) =\) [Input Box] #### Additional Help: - For assistance, click the [Video] button. #### Submission: - After entering your answers, click the "Check Answer" button to verify your solutions.
Expert Solution
Step 1

We first find c using the Pythagorean theorem

c2=a2+b2c2=32+82c2=9+64c2=73c=73

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