Find tan a. (-15, 8) a Type + or - [?] Enter
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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![**Question:**
Find \( \tan \alpha \).
**Explanation of the Diagram:**
The diagram depicts a coordinate system with a point marked at \((-15, 8)\). A line segment labeled \(r\) originates from the origin and passes through this point. The angle \( \alpha \) is formed between the negative x-axis and the line \(r\).
- The x-axis is horizontal, pointing to the right.
- The y-axis is vertical, pointing upwards.
- The angle \( \alpha \) is measured counterclockwise from the negative x-axis to line \(r\).
**Instructions:**
To find \( \tan \alpha \), use the coordinates of the point \((-15, 8)\):
\[ \tan \alpha = \frac{\text{Opposite side (y-coordinate)}}{\text{Adjacent side (x-coordinate)}} = \frac{8}{-15}. \]
**Input:**
Type the answer as a fraction, and indicate whether it is positive or negative by filling in the appropriate box.
**Interactive Component:**
- Type the sign (+ or -) in the corresponding box.
- Enter your answer in the provided space.
- Click "Enter" to submit your response.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12b7d8e5-e1f4-4366-964c-d88f3b8c0c01%2F8188434b-08f2-4a80-8e62-fd83959ceb40%2Fu1imgi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question:**
Find \( \tan \alpha \).
**Explanation of the Diagram:**
The diagram depicts a coordinate system with a point marked at \((-15, 8)\). A line segment labeled \(r\) originates from the origin and passes through this point. The angle \( \alpha \) is formed between the negative x-axis and the line \(r\).
- The x-axis is horizontal, pointing to the right.
- The y-axis is vertical, pointing upwards.
- The angle \( \alpha \) is measured counterclockwise from the negative x-axis to line \(r\).
**Instructions:**
To find \( \tan \alpha \), use the coordinates of the point \((-15, 8)\):
\[ \tan \alpha = \frac{\text{Opposite side (y-coordinate)}}{\text{Adjacent side (x-coordinate)}} = \frac{8}{-15}. \]
**Input:**
Type the answer as a fraction, and indicate whether it is positive or negative by filling in the appropriate box.
**Interactive Component:**
- Type the sign (+ or -) in the corresponding box.
- Enter your answer in the provided space.
- Click "Enter" to submit your response.
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