Find 0 if 0 is between 0° and 90°. Round your answer to the nearest tenth of a degree. tan 0 0.7796
Find 0 if 0 is between 0° and 90°. Round your answer to the nearest tenth of a degree. tan 0 0.7796
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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![### Problem Statement:
Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree.
\[ \tan \theta = 0.7796 \]
### Interface Options:
- My Notes
- Ask Your Teacher
- Practice Another
#### Explanation:
To find the angle θ whose tangent is 0.7796, you can use the inverse tangent function (also known as arctangent), typically denoted as \(\tan^{-1}\) or \(\arctan\). Using a calculator, you input the value 0.7796 and apply the inverse tangent function to obtain an angle in degrees.
1. **Input the value into a scientific calculator**:
\[
\arctan(0.7796)
\]
2. **The result should be**:
\[
\theta \approx 38.5°
\]
Thus, rounded to the nearest tenth, the value of θ is approximately \(38.5°\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F643de4d0-ca3c-47ed-94f6-02fd3fafa065%2F1878a04e-3a64-47d3-ae1e-e8e4759bdfc3%2Fnizonl7.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement:
Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree.
\[ \tan \theta = 0.7796 \]
### Interface Options:
- My Notes
- Ask Your Teacher
- Practice Another
#### Explanation:
To find the angle θ whose tangent is 0.7796, you can use the inverse tangent function (also known as arctangent), typically denoted as \(\tan^{-1}\) or \(\arctan\). Using a calculator, you input the value 0.7796 and apply the inverse tangent function to obtain an angle in degrees.
1. **Input the value into a scientific calculator**:
\[
\arctan(0.7796)
\]
2. **The result should be**:
\[
\theta \approx 38.5°
\]
Thus, rounded to the nearest tenth, the value of θ is approximately \(38.5°\).
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